104064573626496 has 384 divisors, whose sum is σ = 357455929392000. Its totient is φ = 29718054696960.

The previous prime is 104064573626479. The next prime is 104064573626549. The reversal of 104064573626496 is 694626375460401.

104064573626496 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 457 + 36 + 2 + 64 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345141726 + ... + 345443106.

It is an arithmetic number, because the mean of its divisors is an integer number (930874816125).

Almost surely, 2^{104064573626496} is an apocalyptic number.

104064573626496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104064573626496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178727964696000).

104064573626496 is an abundant number, since it is smaller than the sum of its proper divisors (253391355765504).

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

104064573626496 is a wasteful number, since it uses less digits than its factorization.

104064573626496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303457 (or 303432 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 104064573626496 in words is "one hundred four trillion, sixty-four billion, five hundred seventy-three million, six hundred twenty-six thousand, four hundred ninety-six".