49157264448 has 280 divisors, whose sum is σ = 150965408000. Its totient is φ = 15799587840.

The previous prime is 49157264411. The next prime is 49157264449. The reversal of 49157264448 is 84446275194.

49157264448 is a `hidden beast` number, since 4 + 9 + 1 + 572 + 64 + 4 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49157264394 and 49157264403.

It is not an unprimeable number, because it can be changed into a prime (49157264449) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 80190990 + ... + 80191602.

Almost surely, 2^49157264448 is an apocalyptic number.

49157264448 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 49157264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75482704000).

49157264448 is an abundant number, since it is smaller than the sum of its proper divisors (101808143552).

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

49157264448 is a wasteful number, since it uses less digits than its factorization.

49157264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1148 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 49157264448 in words is "forty-nine billion, one hundred fifty-seven million, two hundred sixty-four thousand, four hundred forty-eight".