48260647378944 has 2688 divisors, whose sum is σ = 199317266104320. Its totient is φ = 10835538739200.

The previous prime is 48260647378943. The next prime is 48260647378967. The reversal of 48260647378944 is 44987374606284.

48260647378944 is a `hidden beast` number, since 4 + 8 + 2 + 60 + 6 + 473 + 7 + 8 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48260647378943) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178083569529 + ... + 178083569799.

It is an arithmetic number, because the mean of its divisors is an integer number (74150768640).

Almost surely, 2^{48260647378944} is an apocalyptic number.

48260647378944 is a gapful number since it is divisible by the number (44) 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 48260647378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99658633052160).

48260647378944 is an abundant number, since it is smaller than the sum of its proper divisors (151056618725376).

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

48260647378944 is a wasteful number, since it uses less digits than its factorization.

48260647378944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 72.

The spelling of 48260647378944 in words is "forty-eight trillion, two hundred sixty billion, six hundred forty-seven million, three hundred seventy-eight thousand, nine hundred forty-four".