49314101760 has 1620 divisors, whose sum is σ = 230473877634. Its totient is φ = 9707765760.

The previous prime is 49314101737. The next prime is 49314101777. The reversal of 49314101760 is 6710141394.

49314101760 is a `hidden beast` number, since 49 + 31 + 410 + 176 + 0 = 666.

49314101760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44382691584 + 4931410176 = 210672^2 + 70224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2595479031 + ... + 2595479049.

Almost surely, 2^49314101760 is an apocalyptic number.

49314101760 is a gapful number since it is divisible by the number (40) 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 49314101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115236938817).

49314101760 is an abundant number, since it is smaller than the sum of its proper divisors (181159775874).

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

49314101760 is a wasteful number, since it uses less digits than its factorization.

49314101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 49314101760 in words is "forty-nine billion, three hundred fourteen million, one hundred one thousand, seven hundred sixty".