104964824134008 has 24 divisors (see below), whose sum is σ = 284279732029800. Its totient is φ = 34988274711312.

The previous prime is 104964824134007. The next prime is 104964824134061. The reversal of 104964824134008 is 800431428469401.

104964824134008 is a `hidden beast` number, since 1 + 0 + 4 + 96 + 482 + 41 + 34 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×104964824134008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104964824134007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728922389748 + ... + 728922389891.

It is an arithmetic number, because the mean of its divisors is an integer number (11844988834575).

Almost surely, 2^{104964824134008} is an apocalyptic number.

104964824134008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104964824134008 is an abundant number, since it is smaller than the sum of its proper divisors (179314907895792).

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

104964824134008 is a wasteful number, since it uses less digits than its factorization.

104964824134008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457844779651 (or 1457844779644 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 104964824134008 in words is "one hundred four trillion, nine hundred sixty-four billion, eight hundred twenty-four million, one hundred thirty-four thousand, eight".