49935114900 has 972 divisors, whose sum is σ = 194270433084. Its totient is φ = 11085465600.

The previous prime is 49935114839. The next prime is 49935114907. The reversal of 49935114900 is 941153994.

49935114900 is a `hidden beast` number, since 4 + 9 + 93 + 511 + 49 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2670615684 + 47264499216 = 51678^2 + 217404^2 .

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49935114907) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1349597682 + ... + 1349597718.

Almost surely, 2^49935114900 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 49935114900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97135216542).

49935114900 is an abundant number, since it is smaller than the sum of its proper divisors (144335318184).

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

49935114900 is a wasteful number, since it uses less digits than its factorization.

49935114900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 49935114900 in words is "forty-nine billion, nine hundred thirty-five million, one hundred fourteen thousand, nine hundred".