339045981120 has 896 divisors, whose sum is σ = 1510325452800. Its totient is φ = 69548544000.

The previous prime is 339045981119. The next prime is 339045981143. The reversal of 339045981120 is 21189540933.

It is a happy number.

339045981120 is a `hidden beast` number, since 3 + 39 + 0 + 4 + 598 + 1 + 1 + 20 = 666.

It is a super-2 number, since 2×339045981120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52553895 + ... + 52560345.

Almost surely, 2^339045981120 is an apocalyptic number.

339045981120 is a gapful number since it is divisible by the number (30) 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 339045981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755162726400).

339045981120 is an abundant number, since it is smaller than the sum of its proper divisors (1171279471680).

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

339045981120 is a wasteful number, since it uses less digits than its factorization.

339045981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6574 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 339045981120 in words is "three hundred thirty-nine billion, forty-five million, nine hundred eighty-one thousand, one hundred twenty".