1133540763264 has 256 divisors, whose sum is σ = 4117563744000. Its totient is φ = 298955722752.

The previous prime is 1133540763239. The next prime is 1133540763317. The reversal of 1133540763264 is 4623670453311.

1133540763264 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 5 + 4 + 0 + 7 + 632 + 6 + 4 = 666.

It is a super-2 number, since 2×1133540763264² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487659 + ... + 2116650.

It is an arithmetic number, because the mean of its divisors is an integer number (16084233375).

Almost surely, 2^{1133540763264} is an apocalyptic number.

1133540763264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1133540763264 is an abundant number, since it is smaller than the sum of its proper divisors (2984022980736).

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

1133540763264 is a wasteful number, since it uses less digits than its factorization.

1133540763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604352 (or 3604334 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 1133540763264 in words is "one trillion, one hundred thirty-three billion, five hundred forty million, seven hundred sixty-three thousand, two hundred sixty-four".