39453890466816 has 1056 divisors, whose sum is σ = 135876634583040. Its totient is φ = 10792153055232.

The previous prime is 39453890466769. The next prime is 39453890466833. The reversal of 39453890466816 is 61866409835493.

39453890466816 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 3 + 89 + 0 + 466 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45717138001 + ... + 45717138863.

Almost surely, 2^{39453890466816} is an apocalyptic number.

39453890466816 is a gapful number since it is divisible by the number (36) 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 39453890466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67938317291520).

39453890466816 is an abundant number, since it is smaller than the sum of its proper divisors (96422744116224).

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

39453890466816 is a wasteful number, since it uses less digits than its factorization.

39453890466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 39453890466816 in words is "thirty-nine trillion, four hundred fifty-three billion, eight hundred ninety million, four hundred sixty-six thousand, eight hundred sixteen".