48458362512240 has 560 divisors, whose sum is σ = 171228716330400. Its totient is φ = 12746807377920.

The previous prime is 48458362512229. The next prime is 48458362512247. The reversal of 48458362512240 is 4221526385484.

48458362512240 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 8 + 3 + 625 + 1 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48458362512247) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1390506336 + ... + 1390541184.

Almost surely, 2^{48458362512240} is an apocalyptic number.

48458362512240 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 48458362512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85614358165200).

48458362512240 is an abundant number, since it is smaller than the sum of its proper divisors (122770353818160).

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

48458362512240 is a wasteful number, since it uses less digits than its factorization.

48458362512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35204 (or 35183 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 48458362512240 in words is "forty-eight trillion, four hundred fifty-eight billion, three hundred sixty-two million, five hundred twelve thousand, two hundred forty".