214769600496 has 960 divisors, whose sum is σ = 752351846400. Its totient is φ = 58390295040.

The previous prime is 214769600473. The next prime is 214769600509. The reversal of 214769600496 is 694006967412.

It is a happy number.

214769600496 is a `hidden beast` number, since 2 + 147 + 6 + 9 + 6 + 0 + 0 + 496 = 666.

It is a super-2 number, since 2×214769600496² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2007192475 + ... + 2007192581.

It is an arithmetic number, because the mean of its divisors is an integer number (783699840).

Almost surely, 2^214769600496 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 214769600496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376175923200).

214769600496 is an abundant number, since it is smaller than the sum of its proper divisors (537582245904).

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

214769600496 is a wasteful number, since it uses less digits than its factorization.

214769600496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 214769600496 in words is "two hundred fourteen billion, seven hundred sixty-nine million, six hundred thousand, four hundred ninety-six".