30183992136144 has 840 divisors, whose sum is σ = 110454910877696. Its totient is φ = 7818024614400.

The previous prime is 30183992136101. The next prime is 30183992136149. The reversal of 30183992136144 is 44163129938103.

30183992136144 is a `hidden beast` number, since 3 + 0 + 1 + 8 + 3 + 9 + 9 + 2 + 13 + 614 + 4 = 666.

It is a super-2 number, since 2×30183992136144² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30183992136149) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 3685015089 + ... + 3685023279.

Almost surely, 2^{30183992136144} 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 30183992136144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55227455438848).

30183992136144 is an abundant number, since it is smaller than the sum of its proper divisors (80270918741552).

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

30183992136144 is a wasteful number, since it uses less digits than its factorization.

30183992136144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 30183992136144 in words is "thirty trillion, one hundred eighty-three billion, nine hundred ninety-two million, one hundred thirty-six thousand, one hundred forty-four".