49374336367872 has 1152 divisors, whose sum is σ = 161000261452800. Its totient is φ = 14879946571776.

The previous prime is 49374336367859. The next prime is 49374336367877. The reversal of 49374336367872 is 27876363347394.

49374336367872 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 433 + 63 + 67 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 49374336367872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49374336367877) 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, 33980960298 + ... + 33980961750.

It is an arithmetic number, because the mean of its divisors is an integer number (139757171400).

Almost surely, 2^{49374336367872} 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 49374336367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80500130726400).

49374336367872 is an abundant number, since it is smaller than the sum of its proper divisors (111625925084928).

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

49374336367872 is a wasteful number, since it uses less digits than its factorization.

49374336367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1680 counting only the distinct ones).

The product of its digits is 2304433152, while the sum is 72.

The spelling of 49374336367872 in words is "forty-nine trillion, three hundred seventy-four billion, three hundred thirty-six million, three hundred sixty-seven thousand, eight hundred seventy-two".