1148920417575 has 432 divisors, whose sum is σ = 2565478656000. Its totient is φ = 481239982080.

The previous prime is 1148920417571. The next prime is 1148920417591. The reversal of 1148920417575 is 5757140298411.

1148920417575 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 9 + 20 + 41 + 7 + 575 = 666.

It is not a de Polignac number, because 1148920417575 - 2² = 1148920417571 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148920417571) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3200335246 + ... + 3200335604.

It is an arithmetic number, because the mean of its divisors is an integer number (5938608000).

Almost surely, 2^{1148920417575} is an apocalyptic number.

1148920417575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1148920417575 is an abundant number, since it is smaller than the sum of its proper divisors (1416558238425).

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

1148920417575 is a wasteful number, since it uses less digits than its factorization.

1148920417575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 1148920417575 in words is "one trillion, one hundred forty-eight billion, nine hundred twenty million, four hundred seventeen thousand, five hundred seventy-five".