48157645713408 has 4160 divisors, whose sum is σ = 202776553267200. Its totient is φ = 11236854988800.

The previous prime is 48157645713389. The next prime is 48157645713409. The reversal of 48157645713408 is 80431754675184.

48157645713408 is a `hidden beast` number, since 4 + 8 + 1 + 57 + 6 + 4 + 571 + 3 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48157645713409) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 659693776860 + ... + 659693776932.

Almost surely, 2^{48157645713408} is an apocalyptic number.

48157645713408 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 48157645713408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388276633600).

48157645713408 is an abundant number, since it is smaller than the sum of its proper divisors (154618907553792).

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

48157645713408 is a wasteful number, since it uses less digits than its factorization.

48157645713408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 48157645713408 in words is "forty-eight trillion, one hundred fifty-seven billion, six hundred forty-five million, seven hundred thirteen thousand, four hundred eight".