30747437445312 has 672 divisors, whose sum is σ = 106611560939520. Its totient is φ = 8605176652800.

The previous prime is 30747437445281. The next prime is 30747437445359. The reversal of 30747437445312 is 21354473474703.

30747437445312 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 74 + 37 + 4 + 4 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1092218437 + ... + 1092246587.

It is an arithmetic number, because the mean of its divisors is an integer number (158648156160).

Almost surely, 2^{30747437445312} is an apocalyptic number.

30747437445312 is a gapful number since it is divisible by the number (32) 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 30747437445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53305780469760).

30747437445312 is an abundant number, since it is smaller than the sum of its proper divisors (75864123494208).

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

30747437445312 is a wasteful number, since it uses less digits than its factorization.

30747437445312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28391 (or 28369 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 54.

The spelling of 30747437445312 in words is "thirty trillion, seven hundred forty-seven billion, four hundred thirty-seven million, four hundred forty-five thousand, three hundred twelve".