48951349413120 has 3888 divisors, whose sum is σ = 227807104412160. Its totient is φ = 9656672256000.

The previous prime is 48951349413103. The next prime is 48951349413137. The reversal of 48951349413120 is 2131494315984.

48951349413120 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 13 + 494 + 13 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (48951349413103) and next prime (48951349413137).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 129159233091 + ... + 129159233469.

Almost surely, 2^{48951349413120} is an apocalyptic number.

48951349413120 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 48951349413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113903552206080).

48951349413120 is an abundant number, since it is smaller than the sum of its proper divisors (178855754999040).

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

48951349413120 is a wasteful number, since it uses less digits than its factorization.

48951349413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 48951349413120 in words is "forty-eight trillion, nine hundred fifty-one billion, three hundred forty-nine million, four hundred thirteen thousand, one hundred twenty".