83142630144 has 720 divisors, whose sum is σ = 295708488768. Its totient is φ = 22741254144.

The previous prime is 83142630143. The next prime is 83142630173. The reversal of 83142630144 is 44103624138.

83142630144 is a `hidden beast` number, since 8 + 3 + 1 + 4 + 2 + 630 + 14 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 83142630099 and 83142630108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83142630143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 606880444 + ... + 606880580.

Almost surely, 2^83142630144 is an apocalyptic number.

83142630144 is a gapful number since it is divisible by the number (84) 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 83142630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147854244384).

83142630144 is an abundant number, since it is smaller than the sum of its proper divisors (212565858624).

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

83142630144 is a wasteful number, since it uses less digits than its factorization.

83142630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 83142630144 in words is "eighty-three billion, one hundred forty-two million, six hundred thirty thousand, one hundred forty-four".