104964527734432 has 48 divisors (see below), whose sum is σ = 218220141605760. Its totient is φ = 49561189396992.

The previous prime is 104964527734411. The next prime is 104964527734463. The reversal of 104964527734432 is 234437725469401.

It is a happy number.

It is a super-2 number, since 2×104964527734432² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275590888 + ... + 275971495.

It is an arithmetic number, because the mean of its divisors is an integer number (4546252950120).

Almost surely, 2^{104964527734432} is an apocalyptic number.

It is an amenable number.

104964527734432 is an abundant number, since it is smaller than the sum of its proper divisors (113255613871328).

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

104964527734432 is a wasteful number, since it uses less digits than its factorization.

104964527734432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551562725 (or 551562717 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 61.

The spelling of 104964527734432 in words is "one hundred four trillion, nine hundred sixty-four billion, five hundred twenty-seven million, seven hundred thirty-four thousand, four hundred thirty-two".