190065906432 has 576 divisors, whose sum is σ = 602423377920. Its totient is φ = 59749539840.

The previous prime is 190065906431. The next prime is 190065906473. The reversal of 190065906432 is 234609560091.

190065906432 is a `hidden beast` number, since 19 + 0 + 0 + 6 + 590 + 6 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×190065906432² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190065906431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 815733388 + ... + 815733620.

It is an arithmetic number, because the mean of its divisors is an integer number (1045873920).

Almost surely, 2^190065906432 is an apocalyptic number.

190065906432 is a gapful number since it is divisible by the number (12) 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 190065906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301211688960).

190065906432 is an abundant number, since it is smaller than the sum of its proper divisors (412357471488).

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

190065906432 is an frugal number, since it uses more digits than its factorization.

190065906432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 190065906432 in words is "one hundred ninety billion, sixty-five million, nine hundred six thousand, four hundred thirty-two".