189602961408 has 1152 divisors, whose sum is σ = 717050880000. Its totient is φ = 49161240576.

The previous prime is 189602961371. The next prime is 189602961413. The reversal of 189602961408 is 804169206981.

189602961408 is a `hidden beast` number, since 18 + 9 + 6 + 0 + 2 + 9 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1492936641 + ... + 1492936767.

It is an arithmetic number, because the mean of its divisors is an integer number (622440000).

Almost surely, 2^189602961408 is an apocalyptic number.

189602961408 is a gapful number since it is divisible by the number (18) 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 189602961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440000).

189602961408 is an abundant number, since it is smaller than the sum of its proper divisors (527447918592).

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

189602961408 is a wasteful number, since it uses less digits than its factorization.

189602961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 189602961408 in words is "one hundred eighty-nine billion, six hundred two million, nine hundred sixty-one thousand, four hundred eight".