45654185984 has 384 divisors, whose sum is σ = 113105341440. Its totient is φ = 18166579200.

The previous prime is 45654185981. The next prime is 45654186029. The reversal of 45654185984 is 48958145654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45654185981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625399772 + ... + 625399844.

It is an arithmetic number, because the mean of its divisors is an integer number (294545160).

Almost surely, 2^45654185984 is an apocalyptic number.

45654185984 is a gapful number since it is divisible by the number (44) 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 45654185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56552670720).

45654185984 is an abundant number, since it is smaller than the sum of its proper divisors (67451155456).

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

45654185984 is a wasteful number, since it uses less digits than its factorization.

45654185984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 59.

The spelling of 45654185984 in words is "forty-five billion, six hundred fifty-four million, one hundred eighty-five thousand, nine hundred eighty-four".