1005464145500 has 48 divisors (see below), whose sum is σ = 2196660071424. Its totient is φ = 402052622400.

The previous prime is 1005464145457. The next prime is 1005464145503. The reversal of 1005464145500 is 55414645001.

1005464145500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005464145503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1187429 + ... + 1849571.

It is an arithmetic number, because the mean of its divisors is an integer number (45763751488).

Almost surely, 2^{1005464145500} is an apocalyptic number.

1005464145500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005464145500 is an abundant number, since it is smaller than the sum of its proper divisors (1191195925924).

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

1005464145500 is a wasteful number, since it uses less digits than its factorization.

1005464145500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665199 (or 665187 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 1005464145500 in words is "one trillion, five billion, four hundred sixty-four million, one hundred forty-five thousand, five hundred".