112979005740 has 336 divisors, whose sum is σ = 375617581920. Its totient is φ = 28452695040.

The previous prime is 112979005723. The next prime is 112979005757. The reversal of 112979005740 is 47500979211.

112979005740 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 79 + 0 + 0 + 574 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112979005723) and next prime (112979005757).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 170921010 + ... + 170921670.

It is an arithmetic number, because the mean of its divisors is an integer number (1117909470).

Almost surely, 2^112979005740 is an apocalyptic number.

112979005740 is a gapful number since it is divisible by the number (10) 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 112979005740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187808790960).

112979005740 is an abundant number, since it is smaller than the sum of its proper divisors (262638576180).

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

112979005740 is a wasteful number, since it uses less digits than its factorization.

112979005740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 112979005740 in words is "one hundred twelve billion, nine hundred seventy-nine million, five thousand, seven hundred forty".