189995269464 has 1024 divisors, whose sum is σ = 741533184000. Its totient is φ = 43475927040.

The previous prime is 189995269459. The next prime is 189995269487. The reversal of 189995269464 is 464962599981.

189995269464 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 9 + 526 + 94 + 6 + 4 = 666.

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 = 189995269392 and 189995269401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 984431352 + ... + 984431544.

It is an arithmetic number, because the mean of its divisors is an integer number (724153500).

Almost surely, 2^189995269464 is an apocalyptic number.

189995269464 is a gapful number since it is divisible by the number (14) 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 189995269464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370766592000).

189995269464 is an abundant number, since it is smaller than the sum of its proper divisors (551537914536).

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

189995269464 is a wasteful number, since it uses less digits than its factorization.

189995269464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 189995269464 in words is "one hundred eighty-nine billion, nine hundred ninety-five million, two hundred sixty-nine thousand, four hundred sixty-four".