45456012360 has 288 divisors, whose sum is σ = 171204321600. Its totient is φ = 10371164160.

The previous prime is 45456012331. The next prime is 45456012379. The reversal of 45456012360 is 6321065454.

45456012360 is a `hidden beast` number, since 4 + 5 + 45 + 601 + 2 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1124581 + ... + 1164299.

It is an arithmetic number, because the mean of its divisors is an integer number (594459450).

Almost surely, 2^45456012360 is an apocalyptic number.

45456012360 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 45456012360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85602160800).

45456012360 is an abundant number, since it is smaller than the sum of its proper divisors (125748309240).

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

45456012360 is a wasteful number, since it uses less digits than its factorization.

45456012360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39781 (or 39757 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45456012360 in words is "forty-five billion, four hundred fifty-six million, twelve thousand, three hundred sixty".