49415397300864 has 1152 divisors, whose sum is σ = 184977391435200. Its totient is φ = 13049048678400.

The previous prime is 49415397300833. The next prime is 49415397300887. The reversal of 49415397300864 is 46800379351494.

49415397300864 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 539 + 7 + 30 + 0 + 8 + 64 = 666.

49415397300864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1187249974 + ... + 1187291594.

Almost surely, 2^{49415397300864} 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 49415397300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92488695717600).

49415397300864 is an abundant number, since it is smaller than the sum of its proper divisors (135561994134336).

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

49415397300864 is a wasteful number, since it uses less digits than its factorization.

49415397300864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41724 (or 41693 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 49415397300864 in words is "forty-nine trillion, four hundred fifteen billion, three hundred ninety-seven million, three hundred thousand, eight hundred sixty-four".