49314098695680 has 8960 divisors, whose sum is σ = 259680179404800. Its totient is φ = 8668430991360.

The previous prime is 49314098695679. The next prime is 49314098695759. The reversal of 49314098695680 is 8659689041394.

49314098695680 is a `hidden beast` number, since 4 + 9 + 31 + 409 + 8 + 69 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (8960).

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

It is a junction number, because it is equal to n+sod(n) for n = 49314098695599 and 49314098695608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1590777377265 + ... + 1590777377295.

It is an arithmetic number, because the mean of its divisors is an integer number (28982162880).

Almost surely, 2^{49314098695680} is an apocalyptic number.

49314098695680 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 49314098695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129840089702400).

49314098695680 is an abundant number, since it is smaller than the sum of its proper divisors (210366080709120).

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

49314098695680 is a wasteful number, since it uses less digits than its factorization.

49314098695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 49314098695680 in words is "forty-nine trillion, three hundred fourteen billion, ninety-eight million, six hundred ninety-five thousand, six hundred eighty".