214626275136 has 1008 divisors, whose sum is σ = 859430295360. Its totient is φ = 50443223040.

The previous prime is 214626275057. The next prime is 214626275167. The reversal of 214626275136 is 631572626412.

214626275136 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 2 + 627 + 5 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 214626275091 and 214626275100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118511671 + ... + 118513481.

It is an arithmetic number, because the mean of its divisors is an integer number (852609420).

Almost surely, 2^214626275136 is an apocalyptic number.

214626275136 is a gapful number since it is divisible by the number (26) 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 214626275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429715147680).

214626275136 is an abundant number, since it is smaller than the sum of its proper divisors (644804020224).

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

214626275136 is a wasteful number, since it uses less digits than its factorization.

214626275136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1872 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 214626275136 in words is "two hundred fourteen billion, six hundred twenty-six million, two hundred seventy-five thousand, one hundred thirty-six".