74414661906816 has 384 divisors, whose sum is σ = 275586776524800. Its totient is φ = 18704983449600.

The previous prime is 74414661906811. The next prime is 74414661906839. The reversal of 74414661906816 is 61860916641447.

74414661906816 is a `hidden beast` number, since 7 + 4 + 4 + 1 + 4 + 6 + 619 + 0 + 6 + 8 + 1 + 6 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74414661906811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10780981 + ... + 16280628.

It is an arithmetic number, because the mean of its divisors is an integer number (717673897200).

Almost surely, 2^{74414661906816} is an apocalyptic number.

It is an amenable number.

74414661906816 is an abundant number, since it is smaller than the sum of its proper divisors (201172114617984).

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

74414661906816 is a wasteful number, since it uses less digits than its factorization.

74414661906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27061678 (or 27061663 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 74414661906816 in words is "seventy-four trillion, four hundred fourteen billion, six hundred sixty-one million, nine hundred six thousand, eight hundred sixteen".