192948672464064 has 336 divisors, whose sum is σ = 614886801744384. Its totient is φ = 57349939046400.

The previous prime is 192948672464063. The next prime is 192948672464111. The reversal of 192948672464064 is 460464276849291.

192948672464064 is a `hidden beast` number, since 1 + 9 + 2 + 9 + 48 + 67 + 2 + 464 + 0 + 64 = 666.

It is a super-2 number, since 2×192948672464064² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 192948672463983 and 192948672464001.

It is not an unprimeable number, because it can be changed into a prime (192948672464063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219239727 + ... + 1219397969.

Almost surely, 2^{192948672464064} 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 192948672464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307443400872192).

192948672464064 is an abundant number, since it is smaller than the sum of its proper divisors (421938129280320).

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

192948672464064 is a wasteful number, since it uses less digits than its factorization.

192948672464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161956 (or 161943 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 192948672464064 in words is "one hundred ninety-two trillion, nine hundred forty-eight billion, six hundred seventy-two million, four hundred sixty-four thousand, sixty-four".