45704199168000 has 1344 divisors, whose sum is σ = 175911357892608. Its totient is φ = 11375581593600.

The previous prime is 45704199167971. The next prime is 45704199168071. The reversal of 45704199168000 is 86199140754.

45704199168000 is a `hidden beast` number, since 4 + 570 + 4 + 1 + 9 + 9 + 1 + 68 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19897342852 + ... + 19897345148.

Almost surely, 2^{45704199168000} is an apocalyptic number.

45704199168000 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 45704199168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87955678946304).

45704199168000 is an abundant number, since it is smaller than the sum of its proper divisors (130207158724608).

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

45704199168000 is a wasteful number, since it uses less digits than its factorization.

45704199168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 45704199168000 in words is "forty-five trillion, seven hundred four billion, one hundred ninety-nine million, one hundred sixty-eight thousand".