48165105046212 has 288 divisors, whose sum is σ = 160180696166400. Its totient is φ = 11822412672000.

The previous prime is 48165105046187. The next prime is 48165105046229. The reversal of 48165105046212 is 21264050156184.

48165105046212 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 5 + 10 + 5 + 0 + 4 + 621 + 2 = 666.

It is a super-2 number, since 2×48165105046212² (a number of 28 digits) contains 22 as substring.

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, 19979589 + ... + 22260147.

It is an arithmetic number, because the mean of its divisors is an integer number (556182972800).

Almost surely, 2^{48165105046212} is an apocalyptic number.

48165105046212 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 48165105046212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80090348083200).

48165105046212 is an abundant number, since it is smaller than the sum of its proper divisors (112015591120188).

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

48165105046212 is a wasteful number, since it uses less digits than its factorization.

48165105046212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281007 (or 2281002 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 48165105046212 in words is "forty-eight trillion, one hundred sixty-five billion, one hundred five million, forty-six thousand, two hundred twelve".