45696182400 has 1440 divisors, whose sum is σ = 195402493440. Its totient is φ = 10492416000.

The previous prime is 45696182387. The next prime is 45696182401. The reversal of 45696182400 is 428169654.

45696182400 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 618 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45696182401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 972259177 + ... + 972259223.

It is an arithmetic number, because the mean of its divisors is an integer number (135696176).

Almost surely, 2^45696182400 is an apocalyptic number.

45696182400 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 45696182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97701246720).

45696182400 is an abundant number, since it is smaller than the sum of its proper divisors (149706311040).

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

45696182400 is a wasteful number, since it uses less digits than its factorization.

45696182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45696182400 in words is "forty-five billion, six hundred ninety-six million, one hundred eighty-two thousand, four hundred".