11213374236480 has 336 divisors, whose sum is σ = 42968494230480. Its totient is φ = 2665035104256.

The previous prime is 11213374236457. The next prime is 11213374236503. The reversal of 11213374236480 is 8463247331211.

It is a happy number.

11213374236480 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 374 + 236 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11213374236457) and next prime (11213374236503).

It can be written as a sum of positive squares in 8 ways, for example, as 1953330483456 + 9260043753024 = 1397616^2 + 3043032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4078077 + ... + 6249596.

It is an arithmetic number, because the mean of its divisors is an integer number (127882423305).

Almost surely, 2^{11213374236480} is an apocalyptic number.

11213374236480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11213374236480 is an abundant number, since it is smaller than the sum of its proper divisors (31755119994000).

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

11213374236480 is a wasteful number, since it uses less digits than its factorization.

11213374236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10327738 (or 10327725 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 11213374236480 in words is "eleven trillion, two hundred thirteen billion, three hundred seventy-four million, two hundred thirty-six thousand, four hundred eighty".