216400149504 has 880 divisors, whose sum is σ = 832418543616. Its totient is φ = 54344908800.

The previous prime is 216400149499. The next prime is 216400149529. The reversal of 216400149504 is 405941004612.

216400149504 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 0 + 0 + 149 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197986782 + ... + 197987874.

Almost surely, 2^216400149504 is an apocalyptic number.

216400149504 is a gapful number since it is divisible by the number (24) 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 216400149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416209271808).

216400149504 is an abundant number, since it is smaller than the sum of its proper divisors (616018394112).

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

216400149504 is a wasteful number, since it uses less digits than its factorization.

216400149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 216400149504 in words is "two hundred sixteen billion, four hundred million, one hundred forty-nine thousand, five hundred four".