45612564480 has 640 divisors, whose sum is σ = 187268621760. Its totient is φ = 10404495360.

The previous prime is 45612564463. The next prime is 45612564509. The reversal of 45612564480 is 8446521654.

It is a happy number.

45612564480 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 2 + 564 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92897035 + ... + 92897525.

Almost surely, 2^45612564480 is an apocalyptic number.

45612564480 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 45612564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93634310880).

45612564480 is an abundant number, since it is smaller than the sum of its proper divisors (141656057280).

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

45612564480 is an frugal number, since it uses more digits than its factorization.

45612564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45612564480 in words is "forty-five billion, six hundred twelve million, five hundred sixty-four thousand, four hundred eighty".