48459707391744 has 288 divisors, whose sum is σ = 156803887591680. Its totient is φ = 14640387379200.

The previous prime is 48459707391703. The next prime is 48459707391757. The reversal of 48459707391744 is 44719370795484.

48459707391744 is a `hidden beast` number, since 4 + 8 + 459 + 70 + 7 + 39 + 1 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24203814 + ... + 26129370.

Almost surely, 2^{48459707391744} is an apocalyptic number.

48459707391744 is a gapful number since it is divisible by the number (44) 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 48459707391744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78401943795840).

48459707391744 is an abundant number, since it is smaller than the sum of its proper divisors (108344180199936).

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

48459707391744 is a wasteful number, since it uses less digits than its factorization.

48459707391744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925924 (or 1925904 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 48459707391744 in words is "forty-eight trillion, four hundred fifty-nine billion, seven hundred seven million, three hundred ninety-one thousand, seven hundred forty-four".