48881141253000 has 1024 divisors, whose sum is σ = 202451606323200. Its totient is φ = 10667540505600.

The previous prime is 48881141252987. The next prime is 48881141253017. The reversal of 48881141253000 is 35214118884.

48881141253000 is a `hidden beast` number, since 488 + 8 + 1 + 14 + 125 + 30 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2447351014 + ... + 2447370986.

It is an arithmetic number, because the mean of its divisors is an integer number (197706646800).

Almost surely, 2^{48881141253000} is an apocalyptic number.

48881141253000 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 48881141253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101225803161600).

48881141253000 is an abundant number, since it is smaller than the sum of its proper divisors (153570465070200).

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

48881141253000 is a wasteful number, since it uses less digits than its factorization.

48881141253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20596 (or 20576 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 48881141253000 in words is "forty-eight trillion, eight hundred eighty-one billion, one hundred forty-one million, two hundred fifty-three thousand".