153048054400704 has 336 divisors, whose sum is σ = 443189374467840. Its totient is φ = 50494395893760.

The previous prime is 153048054400679. The next prime is 153048054400711. The reversal of 153048054400704 is 407004450840351.

153048054400704 is a `hidden beast` number, since 1 + 5 + 30 + 4 + 8 + 0 + 544 + 0 + 0 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 153048054400704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62239955827 + ... + 62239958285.

It is an arithmetic number, because the mean of its divisors is an integer number (1319015995440).

Almost surely, 2^{153048054400704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153048054400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221594687233920).

153048054400704 is an abundant number, since it is smaller than the sum of its proper divisors (290141320067136).

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

153048054400704 is a wasteful number, since it uses less digits than its factorization.

153048054400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 153048054400704 in words is "one hundred fifty-three trillion, forty-eight billion, fifty-four million, four hundred thousand, seven hundred four".