1133651261952 has 800 divisors, whose sum is σ = 3874388094720. Its totient is φ = 326905528320.

The previous prime is 1133651261947. The next prime is 1133651261987. The reversal of 1133651261952 is 2591621563311.

1133651261952 is a `hidden beast` number, since 1 + 1 + 336 + 5 + 1 + 261 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1133651261898 and 1133651261907.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 793317174 + ... + 793318602.

Almost surely, 2^{1133651261952} is an apocalyptic number.

1133651261952 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 1133651261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937194047360).

1133651261952 is an abundant number, since it is smaller than the sum of its proper divisors (2740736832768).

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

1133651261952 is a wasteful number, since it uses less digits than its factorization.

1133651261952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1529 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 1133651261952 in words is "one trillion, one hundred thirty-three billion, six hundred fifty-one million, two hundred sixty-one thousand, nine hundred fifty-two".