113484637440 has 576 divisors, whose sum is σ = 419428800000. Its totient is φ = 29021110272.

The previous prime is 113484637423. The next prime is 113484637447. The reversal of 113484637440 is 44736484311.

113484637440 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 8 + 4 + 637 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113484637447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199445476 + ... + 199446044.

It is an arithmetic number, because the mean of its divisors is an integer number (728175000).

Almost surely, 2^113484637440 is an apocalyptic number.

113484637440 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 113484637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209714400000).

113484637440 is an abundant number, since it is smaller than the sum of its proper divisors (305944162560).

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

113484637440 is a wasteful number, since it uses less digits than its factorization.

113484637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 113484637440 in words is "one hundred thirteen billion, four hundred eighty-four million, six hundred thirty-seven thousand, four hundred forty".