113554308215040 has 2304 divisors, whose sum is σ = 488954730700800. Its totient is φ = 21738647715840.

The previous prime is 113554308215039. The next prime is 113554308215059. The reversal of 113554308215040 is 40512803455311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 113554308214983 and 113554308215001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58262855986 + ... + 58262857934.

It is an arithmetic number, because the mean of its divisors is an integer number (212219935200).

Almost surely, 2^{113554308215040} is an apocalyptic number.

113554308215040 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 113554308215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244477365350400).

113554308215040 is an abundant number, since it is smaller than the sum of its proper divisors (375400422485760).

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

113554308215040 is a wasteful number, since it uses less digits than its factorization.

113554308215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 113554308215040 in words is "one hundred thirteen trillion, five hundred fifty-four billion, three hundred eight million, two hundred fifteen thousand, forty".