1010972964645 has 64 divisors (see below), whose sum is σ = 2058677821440. Its totient is φ = 461115630144.

The previous prime is 1010972964637. The next prime is 1010972964719. The reversal of 1010972964645 is 5464692790101.

1010972964645 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 97 + 2 + 96 + 464 + 5 = 666.

It is not a de Polignac number, because 1010972964645 - 2³ = 1010972964637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010972964591 and 1010972964600.

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 63 ways as a sum of consecutive naturals, for example, 788829 + ... + 1626098.

It is an arithmetic number, because the mean of its divisors is an integer number (32166840960).

Almost surely, 2^{1010972964645} is an apocalyptic number.

1010972964645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010972964645 is an abundant number, since it is smaller than the sum of its proper divisors (1047704856795).

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

1010972964645 is a wasteful number, since it uses less digits than its factorization.

1010972964645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415391 (or 2415385 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1010972964645 in words is "one trillion, ten billion, nine hundred seventy-two million, nine hundred sixty-four thousand, six hundred forty-five".