113428667520 has 1152 divisors, whose sum is σ = 494342559360. Its totient is φ = 24293965824.

The previous prime is 113428667491. The next prime is 113428667603. The reversal of 113428667520 is 25766824311.

113428667520 is a `hidden beast` number, since 1 + 1 + 3 + 42 + 86 + 6 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×113428667520³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 499685647 + ... + 499685873.

It is an arithmetic number, because the mean of its divisors is an integer number (429116805).

Almost surely, 2^113428667520 is an apocalyptic number.

113428667520 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 113428667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247171279680).

113428667520 is an abundant number, since it is smaller than the sum of its proper divisors (380913891840).

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

113428667520 is an frugal number, since it uses more digits than its factorization.

113428667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 113428667520 in words is "one hundred thirteen billion, four hundred twenty-eight million, six hundred sixty-seven thousand, five hundred twenty".