11402274363984 has 540 divisors, whose sum is σ = 38738567754900. Its totient is φ = 3121300224000.

The previous prime is 11402274363979. The next prime is 11402274364031. The reversal of 11402274363984 is 48936347220411.

11402274363984 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 274 + 363 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10059503275584 + 1342771088400 = 3171672^2 + 1158780^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11402274363984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 684854092 + ... + 684870740.

It is an arithmetic number, because the mean of its divisors is an integer number (71738088435).

Almost surely, 2^{11402274363984} is an apocalyptic number.

11402274363984 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 11402274363984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19369283877450).

11402274363984 is an abundant number, since it is smaller than the sum of its proper divisors (27336293390916).

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

11402274363984 is a wasteful number, since it uses less digits than its factorization.

11402274363984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16840 (or 16793 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 11402274363984 in words is "eleven trillion, four hundred two billion, two hundred seventy-four million, three hundred sixty-three thousand, nine hundred eighty-four".