74681406813456 has 160 divisors (see below), whose sum is σ = 216607025013120. Its totient is φ = 24633320472576.

The previous prime is 74681406813449. The next prime is 74681406813511. The reversal of 74681406813456 is 65431860418647.

74681406813456 is a `hidden beast` number, since 7 + 4 + 6 + 81 + 40 + 68 + 1 + 3 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74681406813393 and 74681406813402.

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 31 ways as a sum of consecutive naturals, for example, 274880176 + ... + 275151728.

It is an arithmetic number, because the mean of its divisors is an integer number (1353793906332).

Almost surely, 2^{74681406813456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74681406813456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108303512506560).

74681406813456 is an abundant number, since it is smaller than the sum of its proper divisors (141925618199664).

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

74681406813456 is a wasteful number, since it uses less digits than its factorization.

74681406813456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278230 (or 278218 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 74681406813456 in words is "seventy-four trillion, six hundred eighty-one billion, four hundred six million, eight hundred thirteen thousand, four hundred fifty-six".