1134461542500 has 720 divisors, whose sum is σ = 4252811314752. Its totient is φ = 251280000000.

The previous prime is 1134461542481. The next prime is 1134461542537. The reversal of 1134461542500 is 52451644311.

1134461542500 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 61 + 542 + 50 + 0 = 666.

It is a super-2 number, since 2×1134461542500² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 324965755 + ... + 324969245.

Almost surely, 2^{1134461542500} is an apocalyptic number.

1134461542500 is a gapful number since it is divisible by the number (10) 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 1134461542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126405657376).

1134461542500 is an abundant number, since it is smaller than the sum of its proper divisors (3118349772252).

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

1134461542500 is a wasteful number, since it uses less digits than its factorization.

1134461542500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1134461542500 in words is "one trillion, one hundred thirty-four billion, four hundred sixty-one million, five hundred forty-two thousand, five hundred".