49181119004160 has 3840 divisors, whose sum is σ = 219611503964160. Its totient is φ = 10341325209600.

The previous prime is 49181119004159. The next prime is 49181119004209. The reversal of 49181119004160 is 6140091118194.

49181119004160 is a `hidden beast` number, since 49 + 1 + 8 + 1 + 1 + 190 + 0 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 177549165942 + ... + 177549166218.

It is an arithmetic number, because the mean of its divisors is an integer number (57190495824).

Almost surely, 2^{49181119004160} is an apocalyptic number.

49181119004160 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 49181119004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109805751982080).

49181119004160 is an abundant number, since it is smaller than the sum of its proper divisors (170430384960000).

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

49181119004160 is a wasteful number, since it uses less digits than its factorization.

49181119004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 49181119004160 in words is "forty-nine trillion, one hundred eighty-one billion, one hundred nineteen million, four thousand, one hundred sixty".