48461162561280 has 1152 divisors, whose sum is σ = 201088895293440. Its totient is φ = 10822055362560.

The previous prime is 48461162561257. The next prime is 48461162561293. The reversal of 48461162561280 is 8216526116484.

48461162561280 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 1 + 1 + 625 + 6 + 1 + 2 + 8 + 0 = 666.

48461162561280 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 (1152).

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 127 ways as a sum of consecutive naturals, for example, 3090036319 + ... + 3090052001.

It is an arithmetic number, because the mean of its divisors is an integer number (174556332720).

Almost surely, 2^{48461162561280} is an apocalyptic number.

48461162561280 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 48461162561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100544447646720).

48461162561280 is an abundant number, since it is smaller than the sum of its proper divisors (152627732732160).

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

48461162561280 is a wasteful number, since it uses less digits than its factorization.

48461162561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16014 (or 15994 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 48461162561280 in words is "forty-eight trillion, four hundred sixty-one billion, one hundred sixty-two million, five hundred sixty-one thousand, two hundred eighty".