48723461280 has 768 divisors, whose sum is σ = 194840432640. Its totient is φ = 11280715776.

The previous prime is 48723461261. The next prime is 48723461309. The reversal of 48723461280 is 8216432784.

It is a happy number.

48723461280 is a `hidden beast` number, since 4 + 8 + 7 + 23 + 4 + 612 + 8 + 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 127 ways as a sum of consecutive naturals, for example, 86542279 + ... + 86542841.

It is an arithmetic number, because the mean of its divisors is an integer number (253698480).

Almost surely, 2^48723461280 is an apocalyptic number.

48723461280 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 48723461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97420216320).

48723461280 is an abundant number, since it is smaller than the sum of its proper divisors (146116971360).

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

48723461280 is a wasteful number, since it uses less digits than its factorization.

48723461280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 48723461280 in words is "forty-eight billion, seven hundred twenty-three million, four hundred sixty-one thousand, two hundred eighty".