45651870351360 has 2736 divisors, whose sum is σ = 208086339412224. Its totient is φ = 8998996672512.

The previous prime is 45651870351359. The next prime is 45651870351391. The reversal of 45651870351360 is 6315307815654.

45651870351360 is a `hidden beast` number, since 4 + 5 + 6 + 51 + 8 + 70 + 3 + 513 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45651870351297 and 45651870351306.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1061671403499 + ... + 1061671403541.

Almost surely, 2^{45651870351360} is an apocalyptic number.

45651870351360 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 45651870351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104043169706112).

45651870351360 is an abundant number, since it is smaller than the sum of its proper divisors (162434469060864).

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

45651870351360 is an equidigital number, since it uses as much as digits as its factorization.

45651870351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 45651870351360 in words is "forty-five trillion, six hundred fifty-one billion, eight hundred seventy million, three hundred fifty-one thousand, three hundred sixty".