190541972448 has 72 divisors (see below), whose sum is σ = 542078075448. Its totient is φ = 63487694592.

The previous prime is 190541972399. The next prime is 190541972449. The reversal of 190541972448 is 844279145091.

190541972448 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 4 + 197 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×190541972448² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 190541972394 and 190541972403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190541972449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566115 + ... + 837597.

It is an arithmetic number, because the mean of its divisors is an integer number (7528862159).

Almost surely, 2^190541972448 is an apocalyptic number.

190541972448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190541972448 is an abundant number, since it is smaller than the sum of its proper divisors (351536103000).

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

190541972448 is a wasteful number, since it uses less digits than its factorization.

190541972448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273936 (or 273925 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 190541972448 in words is "one hundred ninety billion, five hundred forty-one million, nine hundred seventy-two thousand, four hundred forty-eight".