364457054016 has 224 divisors, whose sum is σ = 1169373490560. Its totient is φ = 110391091200.

The previous prime is 364457053993. The next prime is 364457054077. The reversal of 364457054016 is 610450754463.

364457054016 is a `hidden beast` number, since 3 + 6 + 44 + 57 + 0 + 540 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82435486 + ... + 82439906.

Almost surely, 2^364457054016 is an apocalyptic number.

364457054016 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 364457054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584686745280).

364457054016 is an abundant number, since it is smaller than the sum of its proper divisors (804916436544).

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

364457054016 is a wasteful number, since it uses less digits than its factorization.

364457054016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 364457054016 in words is "three hundred sixty-four billion, four hundred fifty-seven million, fifty-four thousand, sixteen".