49085250153408 has 448 divisors, whose sum is σ = 166279560069120. Its totient is φ = 13908492509184.

The previous prime is 49085250153349. The next prime is 49085250153421. The reversal of 49085250153408 is 80435105258094.

49085250153408 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 52 + 50 + 1 + 534 + 0 + 8 = 666.

49085250153408 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5519533410 + ... + 5519542302.

Almost surely, 2^{49085250153408} is an apocalyptic number.

49085250153408 is a gapful number since it is divisible by the number (48) 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 49085250153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83139780034560).

49085250153408 is an abundant number, since it is smaller than the sum of its proper divisors (117194309915712).

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

49085250153408 is a wasteful number, since it uses less digits than its factorization.

49085250153408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12641 (or 12625 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 49085250153408 in words is "forty-nine trillion, eighty-five billion, two hundred fifty million, one hundred fifty-three thousand, four hundred eight".