1149039172416 has 112 divisors (see below), whose sum is σ = 3123043588800. Its totient is φ = 372576522240.

The previous prime is 1149039172399. The next prime is 1149039172459. The reversal of 1149039172416 is 6142719309411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36207436 + ... + 36239156.

Almost surely, 2^{1149039172416} is an apocalyptic number.

1149039172416 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 1149039172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561521794400).

1149039172416 is an abundant number, since it is smaller than the sum of its proper divisors (1974004416384).

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

1149039172416 is a wasteful number, since it uses less digits than its factorization.

1149039172416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36872 (or 36862 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 1149039172416 in words is "one trillion, one hundred forty-nine billion, thirty-nine million, one hundred seventy-two thousand, four hundred sixteen".