913132249920 has 1344 divisors, whose sum is σ = 3782719180800. Its totient is φ = 206482636800.

The previous prime is 913132249879. The next prime is 913132249943. The reversal of 913132249920 is 29942231319.

It is a happy number.

913132249920 is a `hidden beast` number, since 9 + 1 + 3 + 132 + 2 + 499 + 20 = 666.

It is a super-2 number, since 2×913132249920² (a number of 25 digits) contains 22 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3394543546 + ... + 3394543814.

It is an arithmetic number, because the mean of its divisors is an integer number (2814523200).

Almost surely, 2^913132249920 is an apocalyptic number.

913132249920 is a gapful number since it is divisible by the number (90) 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 913132249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891359590400).

913132249920 is an abundant number, since it is smaller than the sum of its proper divisors (2869586930880).

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

913132249920 is a wasteful number, since it uses less digits than its factorization.

913132249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 913132249920 in words is "nine hundred thirteen billion, one hundred thirty-two million, two hundred forty-nine thousand, nine hundred twenty".