48185401098240 has 1440 divisors, whose sum is σ = 209626149567744. Its totient is φ = 10365425418240.

The previous prime is 48185401098181. The next prime is 48185401098283. The reversal of 48185401098240 is 4289010458184.

48185401098240 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 540 + 1 + 0 + 98 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 2368870470 + ... + 2368890810.

Almost surely, 2^{48185401098240} is an apocalyptic number.

48185401098240 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 48185401098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104813074783872).

48185401098240 is an abundant number, since it is smaller than the sum of its proper divisors (161440748469504).

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

48185401098240 is an equidigital number, since it uses as much as digits as its factorization.

48185401098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20413 (or 20375 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 48185401098240 in words is "forty-eight trillion, one hundred eighty-five billion, four hundred one million, ninety-eight thousand, two hundred forty".