49149338112000 has 4160 divisors, whose sum is σ = 231905131121664. Its totient is φ = 10090237132800.

The previous prime is 49149338111921. The next prime is 49149338112011. The reversal of 49149338112000 is 21183394194.

49149338112000 is a `hidden beast` number, since 4 + 9 + 1 + 493 + 38 + 1 + 120 + 0 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 113508863784 + ... + 113508864216.

Almost surely, 2^{49149338112000} is an apocalyptic number.

49149338112000 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 49149338112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115952565560832).

49149338112000 is an abundant number, since it is smaller than the sum of its proper divisors (182755793009664).

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

49149338112000 is a wasteful number, since it uses less digits than its factorization.

49149338112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 49149338112000 in words is "forty-nine trillion, one hundred forty-nine billion, three hundred thirty-eight million, one hundred twelve thousand".