49892644464 has 480 divisors, whose sum is σ = 157214937600. Its totient is φ = 13499136000.

The previous prime is 49892644457. The next prime is 49892644471. The reversal of 49892644464 is 46444629894.

It is an interprime number because it is at equal distance from previous prime (49892644457) and next prime (49892644471).

It is a super-2 number, since 2×49892644464² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49892644398 and 49892644407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330414789 + ... + 330414939.

It is an arithmetic number, because the mean of its divisors is an integer number (327531120).

Almost surely, 2^49892644464 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 49892644464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78607468800).

49892644464 is an abundant number, since it is smaller than the sum of its proper divisors (107322293136).

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

49892644464 is a wasteful number, since it uses less digits than its factorization.

49892644464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 248 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 49892644464 in words is "forty-nine billion, eight hundred ninety-two million, six hundred forty-four thousand, four hundred sixty-four".