48092434169472 has 768 divisors, whose sum is σ = 178399889203200. Its totient is φ = 12484834560000.

The previous prime is 48092434169453. The next prime is 48092434169513. The reversal of 48092434169472 is 27496143429084.

48092434169472 is a `hidden beast` number, since 4 + 8 + 0 + 92 + 43 + 416 + 94 + 7 + 2 = 666.

It is a super-3 number, since 3×48092434169472³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 7818633597 + ... + 7818639747.

It is an arithmetic number, because the mean of its divisors is an integer number (232291522400).

Almost surely, 2^{48092434169472} is an apocalyptic number.

48092434169472 is a gapful number since it is divisible by the number (42) 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 48092434169472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89199944601600).

48092434169472 is an abundant number, since it is smaller than the sum of its proper divisors (130307455033728).

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

48092434169472 is a wasteful number, since it uses less digits than its factorization.

48092434169472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 48092434169472 in words is "forty-eight trillion, ninety-two billion, four hundred thirty-four million, one hundred sixty-nine thousand, four hundred seventy-two".