49187115648 has 768 divisors, whose sum is σ = 174206044800. Its totient is φ = 13649264640.

The previous prime is 49187115629. The next prime is 49187115671. The reversal of 49187115648 is 84651178194.

49187115648 is a `hidden beast` number, since 4 + 9 + 1 + 8 + 71 + 1 + 564 + 8 = 666.

49187115648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×49187115648³ (a number of 33 digits) contains 333 as substring.

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

Its product of digits (1935360) is a multiple of the sum of its prime divisors (70).

It is a junction number, because it is equal to n+sod(n) for n = 49187115594 and 49187115603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1329381486 + ... + 1329381522.

Almost surely, 2^49187115648 is an apocalyptic number.

49187115648 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 49187115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87103022400).

49187115648 is an abundant number, since it is smaller than the sum of its proper divisors (125018929152).

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

49187115648 is a wasteful number, since it uses less digits than its factorization.

49187115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 70 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 49187115648 in words is "forty-nine billion, one hundred eighty-seven million, one hundred fifteen thousand, six hundred forty-eight".