45714708000 has 1152 divisors, whose sum is σ = 189573156864. Its totient is φ = 10340352000.

The previous prime is 45714707999. The next prime is 45714708059. The reversal of 45714708000 is 80741754.

45714708000 is a `hidden beast` number, since 4 + 571 + 4 + 7 + 0 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333683932 + ... + 333684068.

It is an arithmetic number, because the mean of its divisors is an integer number (164560032).

Almost surely, 2^45714708000 is an apocalyptic number.

45714708000 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 45714708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94786578432).

45714708000 is an abundant number, since it is smaller than the sum of its proper divisors (143858448864).

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

45714708000 is a wasteful number, since it uses less digits than its factorization.

45714708000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 45714708000 in words is "forty-five billion, seven hundred fourteen million, seven hundred eight thousand".