30561414451512 has 128 divisors (see below), whose sum is σ = 91930948800000. Its totient is φ = 8270739726336.

The previous prime is 30561414451499. The next prime is 30561414451553. The reversal of 30561414451512 is 21515441416503.

It is a happy number.

It is a super-2 number, since 2×30561414451512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16514664 + ... + 18271752.

It is an arithmetic number, because the mean of its divisors is an integer number (718210537500).

Almost surely, 2^{30561414451512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30561414451512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45965474400000).

30561414451512 is an abundant number, since it is smaller than the sum of its proper divisors (61369534348488).

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

30561414451512 is a wasteful number, since it uses less digits than its factorization.

30561414451512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762573 (or 1762569 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 30561414451512 in words is "thirty trillion, five hundred sixty-one billion, four hundred fourteen million, four hundred fifty-one thousand, five hundred twelve".