48577737414528 has 192 divisors, whose sum is σ = 159848322472800. Its totient is φ = 13871432024064.

The previous prime is 48577737414467. The next prime is 48577737414541. The reversal of 48577737414528 is 82541473777584.

48577737414528 is a `hidden beast` number, since 4 + 8 + 57 + 7 + 7 + 3 + 7 + 41 + 4 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12417988 + ... + 15854396.

Almost surely, 2^{48577737414528} is an apocalyptic number.

48577737414528 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 48577737414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79924161236400).

48577737414528 is an abundant number, since it is smaller than the sum of its proper divisors (111270585058272).

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

48577737414528 is a wasteful number, since it uses less digits than its factorization.

48577737414528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438189 (or 3438174 counting only the distinct ones).

The product of its digits is 1475174400, while the sum is 72.

The spelling of 48577737414528 in words is "forty-eight trillion, five hundred seventy-seven billion, seven hundred thirty-seven million, four hundred fourteen thousand, five hundred twenty-eight".