45370644480 has 1152 divisors, whose sum is σ = 199653854400. Its totient is φ = 9710862336.

The previous prime is 45370644443. The next prime is 45370644523. The reversal of 45370644480 is 8444607354.

45370644480 is a `hidden beast` number, since 45 + 3 + 70 + 64 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 230307742 + ... + 230307938.

Almost surely, 2^45370644480 is an apocalyptic number.

45370644480 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 45370644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99826927200).

45370644480 is an abundant number, since it is smaller than the sum of its proper divisors (154283209920).

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

45370644480 is a wasteful number, since it uses less digits than its factorization.

45370644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 45370644480 in words is "forty-five billion, three hundred seventy million, six hundred forty-four thousand, four hundred eighty".