30801171456 has 616 divisors, whose sum is σ = 104816356608. Its totient is φ = 9032601600.

The previous prime is 30801171437. The next prime is 30801171473. The reversal of 30801171456 is 65417110803.

30801171456 is a `hidden beast` number, since 30 + 8 + 0 + 1 + 171 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30801171456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 993586161 + ... + 993586191.

Almost surely, 2^30801171456 is an apocalyptic number.

30801171456 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 30801171456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52408178304).

30801171456 is an abundant number, since it is smaller than the sum of its proper divisors (74015185152).

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

30801171456 is an frugal number, since it uses more digits than its factorization.

30801171456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 30801171456 in words is "thirty billion, eight hundred one million, one hundred seventy-one thousand, four hundred fifty-six".