48714354224640 has 1920 divisors, whose sum is σ = 191264558284800. Its totient is φ = 11377315676160.

The previous prime is 48714354224603. The next prime is 48714354224689. The reversal of 48714354224640 is 4642245341784.

48714354224640 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 4 + 354 + 2 + 246 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128533915971 + ... + 128533916349.

It is an arithmetic number, because the mean of its divisors is an integer number (99616957440).

Almost surely, 2^{48714354224640} is an apocalyptic number.

48714354224640 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 48714354224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95632279142400).

48714354224640 is an abundant number, since it is smaller than the sum of its proper divisors (142550204060160).

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

48714354224640 is a wasteful number, since it uses less digits than its factorization.

48714354224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 48714354224640 in words is "forty-eight trillion, seven hundred fourteen billion, three hundred fifty-four million, two hundred twenty-four thousand, six hundred forty".