45339102720 has 480 divisors, whose sum is σ = 162013737600. Its totient is φ = 11711938560.

The previous prime is 45339102709. The next prime is 45339102749. The reversal of 45339102720 is 2720193354.

45339102720 is a `hidden beast` number, since 45 + 339 + 10 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×45339102720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161348980 + ... + 161349260.

It is an arithmetic number, because the mean of its divisors is an integer number (337528620).

Almost surely, 2^45339102720 is an apocalyptic number.

45339102720 is a gapful number since it is divisible by the number (40) 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 45339102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81006868800).

45339102720 is an abundant number, since it is smaller than the sum of its proper divisors (116674634880).

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

45339102720 is a wasteful number, since it uses less digits than its factorization.

45339102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 45339102720 in words is "forty-five billion, three hundred thirty-nine million, one hundred two thousand, seven hundred twenty".