45471583680 has 448 divisors, whose sum is σ = 158851031040. Its totient is φ = 11008819200.

The previous prime is 45471583679. The next prime is 45471583723. The reversal of 45471583680 is 8638517454.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146210725 + ... + 146211035.

Almost surely, 2^45471583680 is an apocalyptic number.

45471583680 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 45471583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79425515520).

45471583680 is an abundant number, since it is smaller than the sum of its proper divisors (113379447360).

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

45471583680 is a wasteful number, since it uses less digits than its factorization.

45471583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 45471583680 in words is "forty-five billion, four hundred seventy-one million, five hundred eighty-three thousand, six hundred eighty".