1611461363454 has 160 divisors (see below), whose sum is σ = 3784131600480. Its totient is φ = 512114918400.

The previous prime is 1611461363401. The next prime is 1611461363507. The reversal of 1611461363454 is 4543631641161.

It is a happy number.

1611461363454 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 4 + 6 + 1 + 3 + 634 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1611461363401) and next prime (1611461363507).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52835149 + ... + 52865639.

It is an arithmetic number, because the mean of its divisors is an integer number (23650822503).

Almost surely, 2^{1611461363454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1611461363454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892065800240).

1611461363454 is an abundant number, since it is smaller than the sum of its proper divisors (2172670237026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1611461363454 is a wasteful number, since it uses less digits than its factorization.

1611461363454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30728 (or 30719 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 1611461363454 in words is "one trillion, six hundred eleven billion, four hundred sixty-one million, three hundred sixty-three thousand, four hundred fifty-four".