48971352453120 has 416 divisors, whose sum is σ = 184340268815040. Its totient is φ = 12290846883840.

The previous prime is 48971352453113. The next prime is 48971352453167. The reversal of 48971352453120 is 2135425317984.

48971352453120 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 13 + 52 + 453 + 120 = 666.

It is a super-2 number, since 2×48971352453120² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6795550 + ... + 12005090.

It is an arithmetic number, because the mean of its divisors is an integer number (443125646190).

Almost surely, 2^{48971352453120} is an apocalyptic number.

48971352453120 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 48971352453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92170134407520).

48971352453120 is an abundant number, since it is smaller than the sum of its proper divisors (135368916361920).

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

48971352453120 is a wasteful number, since it uses less digits than its factorization.

48971352453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209596 (or 5209568 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 48971352453120 in words is "forty-eight trillion, nine hundred seventy-one billion, three hundred fifty-two million, four hundred fifty-three thousand, one hundred twenty".