49118592015360 has 3168 divisors, whose sum is σ = 225655421322240. Its totient is φ = 9999654322176.

The previous prime is 49118592015349. The next prime is 49118592015461. The reversal of 49118592015360 is 6351029581194.

49118592015360 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 8 + 592 + 0 + 15 + 36 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 49118592015297 and 49118592015306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53447868981 + ... + 53447869899.

Almost surely, 2^{49118592015360} is an apocalyptic number.

49118592015360 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 49118592015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112827710661120).

49118592015360 is an abundant number, since it is smaller than the sum of its proper divisors (176536829306880).

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

49118592015360 is a wasteful number, since it uses less digits than its factorization.

49118592015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 49118592015360 in words is "forty-nine trillion, one hundred eighteen billion, five hundred ninety-two million, fifteen thousand, three hundred sixty".