49246672011264 has 2880 divisors, whose sum is σ = 198245278156800. Its totient is φ = 11729900666880.

The previous prime is 49246672011263. The next prime is 49246672011301. The reversal of 49246672011264 is 46211027664294.

49246672011264 is a `hidden beast` number, since 4 + 9 + 2 + 466 + 7 + 2 + 0 + 112 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49246672011264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49246672011263) by changing a digit.

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, 735024955359 + ... + 735024955425.

Almost surely, 2^{49246672011264} 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 49246672011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99122639078400).

49246672011264 is an abundant number, since it is smaller than the sum of its proper divisors (148998606145536).

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

49246672011264 is a wasteful number, since it uses less digits than its factorization.

49246672011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 49246672011264 in words is "forty-nine trillion, two hundred forty-six billion, six hundred seventy-two million, eleven thousand, two hundred sixty-four".