48414570912000 has 4320 divisors, whose sum is σ = 208923549778944. Its totient is φ = 11079991296000.

The previous prime is 48414570911963. The next prime is 48414570912013. The reversal of 48414570912000 is 21907541484.

48414570912000 is a `hidden beast` number, since 48 + 4 + 14 + 570 + 9 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 722605535967 + ... + 722605536033.

Almost surely, 2^{48414570912000} is an apocalyptic number.

48414570912000 is a gapful number since it is divisible by the number (40) 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 48414570912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104461774889472).

48414570912000 is an abundant number, since it is smaller than the sum of its proper divisors (160508978866944).

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

48414570912000 is a wasteful number, since it uses less digits than its factorization.

48414570912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48414570912000 in words is "forty-eight trillion, four hundred fourteen billion, five hundred seventy million, nine hundred twelve thousand".