48754794654720 has 6336 divisors, whose sum is σ = 242187519974400. Its totient is φ = 9270405365760.

The previous prime is 48754794654707. The next prime is 48754794654781. The reversal of 48754794654720 is 2745649745784.

It is a happy number.

48754794654720 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 4 + 7 + 94 + 65 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 447291694026 + ... + 447291694134.

It is an arithmetic number, because the mean of its divisors is an integer number (38224040400).

Almost surely, 2^{48754794654720} is an apocalyptic number.

48754794654720 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 48754794654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121093759987200).

48754794654720 is an abundant number, since it is smaller than the sum of its proper divisors (193432725319680).

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

48754794654720 is a wasteful number, since it uses less digits than its factorization.

48754794654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 72.

The spelling of 48754794654720 in words is "forty-eight trillion, seven hundred fifty-four billion, seven hundred ninety-four million, six hundred fifty-four thousand, seven hundred twenty".