11374602624 has 768 divisors, whose sum is σ = 45597427200. Its totient is φ = 2627665920.

The previous prime is 11374602619. The next prime is 11374602667. The reversal of 11374602624 is 42620647311.

11374602624 is a `hidden beast` number, since 1 + 137 + 460 + 2 + 62 + 4 = 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 95 ways as a sum of consecutive naturals, for example, 28651194 + ... + 28651590.

It is an arithmetic number, because the mean of its divisors is an integer number (59371650).

Almost surely, 2^11374602624 is an apocalyptic number.

11374602624 is a gapful number since it is divisible by the number (14) 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 11374602624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22798713600).

11374602624 is an abundant number, since it is smaller than the sum of its proper divisors (34222824576).

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

11374602624 is a wasteful number, since it uses less digits than its factorization.

11374602624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 11374602624 in words is "eleven billion, three hundred seventy-four million, six hundred two thousand, six hundred twenty-four".