49018477568000 has 224 divisors, whose sum is σ = 128781790431840. Its totient is φ = 18575415705600.

The previous prime is 49018477567987. The next prime is 49018477568033. The reversal of 49018477568000 is 86577481094.

It is a super-2 number, since 2×49018477568000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18196274 + ... + 20715726.

It is an arithmetic number, because the mean of its divisors is an integer number (574918707285).

Almost surely, 2^{49018477568000} is an apocalyptic number.

49018477568000 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 49018477568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64390895215920).

49018477568000 is an abundant number, since it is smaller than the sum of its proper divisors (79763312863840).

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

49018477568000 is an equidigital number, since it uses as much as digits as its factorization.

49018477568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519513 (or 2519479 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 59.

The spelling of 49018477568000 in words is "forty-nine trillion, eighteen billion, four hundred seventy-seven million, five hundred sixty-eight thousand".