49351942464 has 448 divisors, whose sum is σ = 156759859200. Its totient is φ = 13536460800.

The previous prime is 49351942447. The next prime is 49351942469. The reversal of 49351942464 is 46424915394.

It is a happy number.

49351942464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49351942464² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49351942469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120664692 + ... + 120665100.

It is an arithmetic number, because the mean of its divisors is an integer number (349910400).

Almost surely, 2^49351942464 is an apocalyptic number.

49351942464 is a gapful number since it is divisible by the number (44) 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 49351942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78379929600).

49351942464 is an abundant number, since it is smaller than the sum of its proper divisors (107407916736).

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

49351942464 is a wasteful number, since it uses less digits than its factorization.

49351942464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The spelling of 49351942464 in words is "forty-nine billion, three hundred fifty-one million, nine hundred forty-two thousand, four hundred sixty-four".