900160017408 has 176 divisors, whose sum is σ = 2667518736960. Its totient is φ = 299864236032.

The previous prime is 900160017307. The next prime is 900160017409. The reversal of 900160017408 is 804710061009.

900160017408 is a `hidden beast` number, since 9 + 0 + 0 + 1 + 600 + 1 + 7 + 40 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900160017409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47904591 + ... + 47923377.

It is an arithmetic number, because the mean of its divisors is an integer number (15156356460).

Almost surely, 2^900160017408 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 900160017408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333759368480).

900160017408 is an abundant number, since it is smaller than the sum of its proper divisors (1767358719552).

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

900160017408 is a wasteful number, since it uses less digits than its factorization.

900160017408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20549 (or 20525 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 900160017408 in words is "nine hundred billion, one hundred sixty million, seventeen thousand, four hundred eight".