45613670400 has 672 divisors, whose sum is σ = 171376665120. Its totient is φ = 11890851840.

The previous prime is 45613670383. The next prime is 45613670461. The reversal of 45613670400 is 407631654.

It is a happy number.

45613670400 is a `hidden beast` number, since 4 + 56 + 136 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403660744 + ... + 403660856.

Almost surely, 2^45613670400 is an apocalyptic number.

45613670400 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 45613670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85688332560).

45613670400 is an abundant number, since it is smaller than the sum of its proper divisors (125762994720).

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

45613670400 is a wasteful number, since it uses less digits than its factorization.

45613670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 45613670400 in words is "forty-five billion, six hundred thirteen million, six hundred seventy thousand, four hundred".