48957578355456 has 432 divisors, whose sum is σ = 143675215547136. Its totient is φ = 16030564982784.

The previous prime is 48957578355437. The next prime is 48957578355473. The reversal of 48957578355456 is 65455387575984.

48957578355456 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 7 + 5 + 7 + 8 + 3 + 554 + 56 = 666.

It is a super-2 number, since 2×48957578355456² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43595349711 + ... + 43595350833.

Almost surely, 2^{48957578355456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48957578355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71837607773568).

48957578355456 is an abundant number, since it is smaller than the sum of its proper divisors (94717637191680).

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

48957578355456 is a wasteful number, since it uses less digits than its factorization.

48957578355456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2311 counting only the distinct ones).

The product of its digits is 25401600000, while the sum is 81.

The spelling of 48957578355456 in words is "forty-eight trillion, nine hundred fifty-seven billion, five hundred seventy-eight million, three hundred fifty-five thousand, four hundred fifty-six".