113411690004480 has 544 divisors, whose sum is σ = 417161420711424. Its totient is φ = 25772559433728.

The previous prime is 113411690004469. The next prime is 113411690004497. The reversal of 113411690004480 is 84400096114311.

It is a super-2 number, since 2×113411690004480² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190413807 + ... + 1190509073.

It is an arithmetic number, because the mean of its divisors is an integer number (766840846896).

Almost surely, 2^{113411690004480} is an apocalyptic number.

113411690004480 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 113411690004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208580710355712).

113411690004480 is an abundant number, since it is smaller than the sum of its proper divisors (303749730706944).

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

113411690004480 is an frugal number, since it uses more digits than its factorization.

113411690004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95487 (or 95457 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 113411690004480 in words is "one hundred thirteen trillion, four hundred eleven billion, six hundred ninety million, four thousand, four hundred eighty".