113903788416 has 512 divisors, whose sum is σ = 367638289920. Its totient is φ = 30841896960.

The previous prime is 113903788393. The next prime is 113903788429. The reversal of 113903788416 is 614887309311.

It is a happy number.

It is a super-3 number, since 3×113903788416³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114246030 + ... + 114247026.

It is an arithmetic number, because the mean of its divisors is an integer number (718043535).

Almost surely, 2^113903788416 is an apocalyptic number.

113903788416 is a gapful number since it is divisible by the number (16) 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 113903788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183819144960).

113903788416 is an abundant number, since it is smaller than the sum of its proper divisors (253734501504).

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

113903788416 is a wasteful number, since it uses less digits than its factorization.

113903788416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 113903788416 in words is "one hundred thirteen billion, nine hundred three million, seven hundred eighty-eight thousand, four hundred sixteen".