30748725536256 has 1920 divisors, whose sum is σ = 119862188328960. Its totient is φ = 7699586678784.

The previous prime is 30748725536231. The next prime is 30748725536257. The reversal of 30748725536256 is 65263552784703.

30748725536256 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 8 + 72 + 5 + 536 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 30748725536193 and 30748725536202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30748725536257) 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, 31798061085 + ... + 31798062051.

It is an arithmetic number, because the mean of its divisors is an integer number (62428223088).

Almost surely, 2^{30748725536256} is an apocalyptic number.

30748725536256 is a gapful number since it is divisible by the number (36) 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 30748725536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59931094164480).

30748725536256 is an abundant number, since it is smaller than the sum of its proper divisors (89113462792704).

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

30748725536256 is a wasteful number, since it uses less digits than its factorization.

30748725536256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 30748725536256 in words is "thirty trillion, seven hundred forty-eight billion, seven hundred twenty-five million, five hundred thirty-six thousand, two hundred fifty-six".