113782529952 has 1512 divisors, whose sum is σ = 459691666560. Its totient is φ = 27512110080.

The previous prime is 113782529929. The next prime is 113782529957. The reversal of 113782529952 is 259925287311.

113782529952 is a `hidden beast` number, since 1 + 1 + 37 + 82 + 529 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2721600) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113782529957) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 3670404177 + ... + 3670404207.

It is an arithmetic number, because the mean of its divisors is an integer number (304028880).

Almost surely, 2^113782529952 is an apocalyptic number.

113782529952 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 113782529952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229845833280).

113782529952 is an abundant number, since it is smaller than the sum of its proper divisors (345909136608).

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

113782529952 is a wasteful number, since it uses less digits than its factorization.

113782529952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 75 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 113782529952 in words is "one hundred thirteen billion, seven hundred eighty-two million, five hundred twenty-nine thousand, nine hundred fifty-two".