1052911582464 has 144 divisors (see below), whose sum is σ = 3280719093120. Its totient is φ = 293494456320.

The previous prime is 1052911582433. The next prime is 1052911582553. The reversal of 1052911582464 is 4642851192501.

1052911582464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052911582464² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2168049 + ... + 2608880.

It is an arithmetic number, because the mean of its divisors is an integer number (22782771480).

Almost surely, 2^{1052911582464} is an apocalyptic number.

1052911582464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1052911582464 is an abundant number, since it is smaller than the sum of its proper divisors (2227807510656).

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

1052911582464 is an equidigital number, since it uses as much as digits as its factorization.

1052911582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776996 (or 4776982 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 1052911582464 in words is "one trillion, fifty-two billion, nine hundred eleven million, five hundred eighty-two thousand, four hundred sixty-four".