49264201389312 has 1620 divisors, whose sum is σ = 190201501631988. Its totient is φ = 12570395443200.

The previous prime is 49264201389269. The next prime is 49264201389317. The reversal of 49264201389312 is 21398310246294.

It is a happy number.

49264201389312 is a `hidden beast` number, since 4 + 9 + 26 + 4 + 201 + 389 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18326755512576 + 30937445876736 = 4280976^2 + 5562144^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49264201389317) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12693685612 + ... + 12693689492.

Almost surely, 2^{49264201389312} is an apocalyptic number.

49264201389312 is a gapful number since it is divisible by the number (42) 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 49264201389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95100750815994).

49264201389312 is an abundant number, since it is smaller than the sum of its proper divisors (140937300242676).

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

49264201389312 is a wasteful number, since it uses less digits than its factorization.

49264201389312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 49264201389312 in words is "forty-nine trillion, two hundred sixty-four billion, two hundred one million, three hundred eighty-nine thousand, three hundred twelve".