48457651089408 has 416 divisors, whose sum is σ = 142741057804800. Its totient is φ = 14498451947520.

The previous prime is 48457651089401. The next prime is 48457651089493. The reversal of 48457651089408 is 80498015675484.

It is a Cunningham number, because it is equal to 6961153²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48457651089401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4858879110 + ... + 4858889082.

It is an arithmetic number, because the mean of its divisors is an integer number (343127542800).

Almost surely, 2^{48457651089408} is an apocalyptic number.

48457651089408 is a gapful number since it is divisible by the number (48) 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 48457651089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71370528902400).

48457651089408 is an abundant number, since it is smaller than the sum of its proper divisors (94283406715392).

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

48457651089408 is a wasteful number, since it uses less digits than its factorization.

48457651089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 69.

The spelling of 48457651089408 in words is "forty-eight trillion, four hundred fifty-seven billion, six hundred fifty-one million, eighty-nine thousand, four hundred eight".