1131624013392 has 240 divisors, whose sum is σ = 3395932979712. Its totient is φ = 364424417280.

The previous prime is 1131624013339. The next prime is 1131624013409. The reversal of 1131624013392 is 2933104261311.

1131624013392 is a `hidden beast` number, since 1 + 1 + 3 + 16 + 240 + 13 + 392 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74358168 + ... + 74373384.

Almost surely, 2^{1131624013392} is an apocalyptic number.

1131624013392 is a gapful number since it is divisible by the number (12) 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 1131624013392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697966489856).

1131624013392 is an abundant number, since it is smaller than the sum of its proper divisors (2264308966320).

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

1131624013392 is a wasteful number, since it uses less digits than its factorization.

1131624013392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15888 (or 15870 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1131624013392 in words is "one trillion, one hundred thirty-one billion, six hundred twenty-four million, thirteen thousand, three hundred ninety-two".