49736641152 has 128 divisors (see below), whose sum is σ = 144674449920. Its totient is φ = 15014067200.

The previous prime is 49736641151. The next prime is 49736641181. The reversal of 49736641152 is 25114663794.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (49736641151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088527 + ... + 1133297.

It is an arithmetic number, because the mean of its divisors is an integer number (1130269140).

Almost surely, 2^49736641152 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 49736641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72337224960).

49736641152 is an abundant number, since it is smaller than the sum of its proper divisors (94937808768).

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

49736641152 is a wasteful number, since it uses less digits than its factorization.

49736641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45062 (or 45050 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The spelling of 49736641152 in words is "forty-nine billion, seven hundred thirty-six million, six hundred forty-one thousand, one hundred fifty-two".