48897141156864 has 4400 divisors, whose sum is σ = 213992365932576. Its totient is φ = 10924720128000.

The previous prime is 48897141156859. The next prime is 48897141156869. The reversal of 48897141156864 is 46865114179884.

48897141156864 is a `hidden beast` number, since 4 + 8 + 8 + 97 + 1 + 411 + 5 + 68 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (48897141156859) and next prime (48897141156869).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48897141156792 and 48897141156801.

It is not an unprimeable number, because it can be changed into a prime (48897141156869) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 484130110414 + ... + 484130110514.

Almost surely, 2^{48897141156864} is an apocalyptic number.

48897141156864 is a gapful number since it is divisible by the number (44) 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 48897141156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106996182966288).

48897141156864 is an abundant number, since it is smaller than the sum of its proper divisors (165095224775712).

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

48897141156864 is a wasteful number, since it uses less digits than its factorization.

48897141156864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 154 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 48897141156864 in words is "forty-eight trillion, eight hundred ninety-seven billion, one hundred forty-one million, one hundred fifty-six thousand, eight hundred sixty-four".