49193464320 has 1920 divisors, whose sum is σ = 240224624640. Its totient is φ = 9316270080.

The previous prime is 49193464301. The next prime is 49193464421. The reversal of 49193464320 is 2346439194.

49193464320 is a `hidden beast` number, since 4 + 91 + 93 + 46 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×49193464320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 622702041 + ... + 622702119.

It is an arithmetic number, because the mean of its divisors is an integer number (125116992).

Almost surely, 2^49193464320 is an apocalyptic number.

49193464320 is a gapful number since it is divisible by the number (40) 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 49193464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120112312320).

49193464320 is an abundant number, since it is smaller than the sum of its proper divisors (191031160320).

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

49193464320 is a wasteful number, since it uses less digits than its factorization.

49193464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 49193464320 in words is "forty-nine billion, one hundred ninety-three million, four hundred sixty-four thousand, three hundred twenty".