45580654080 has 480 divisors, whose sum is σ = 175521265920. Its totient is φ = 10855710720.

The previous prime is 45580654079. The next prime is 45580654121. The reversal of 45580654080 is 8045608554.

45580654080 is a `hidden beast` number, since 4 + 5 + 580 + 65 + 4 + 0 + 8 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 9282666 + ... + 9287574.

It is an arithmetic number, because the mean of its divisors is an integer number (365669304).

Almost surely, 2^45580654080 is an apocalyptic number.

45580654080 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 45580654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87760632960).

45580654080 is an abundant number, since it is smaller than the sum of its proper divisors (129940611840).

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

45580654080 is a wasteful number, since it uses less digits than its factorization.

45580654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 45580654080 in words is "forty-five billion, five hundred eighty million, six hundred fifty-four thousand, eighty".