49124919312 has 640 divisors, whose sum is σ = 177622917120. Its totient is φ = 12680478720.

The previous prime is 49124919307. The next prime is 49124919313. The reversal of 49124919312 is 21391942194.

49124919312 is a `hidden beast` number, since 4 + 91 + 249 + 1 + 9 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49124919313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156948468 + ... + 156948780.

It is an arithmetic number, because the mean of its divisors is an integer number (277535808).

Almost surely, 2^49124919312 is an apocalyptic number.

49124919312 is a gapful number since it is divisible by the number (42) 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 49124919312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88811458560).

49124919312 is an abundant number, since it is smaller than the sum of its proper divisors (128497997808).

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

49124919312 is a wasteful number, since it uses less digits than its factorization.

49124919312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 49124919312 in words is "forty-nine billion, one hundred twenty-four million, nine hundred nineteen thousand, three hundred twelve".