112477061376 has 405 divisors, whose sum is σ = 358894886119. Its totient is φ = 35029352448.

The previous prime is 112477061369. The next prime is 112477061381. The reversal of 112477061376 is 673160774211.

The square root of 112477061376 is 335376.

It is a perfect power (a square), and thus also a powerful number.

112477061376 is a `hidden beast` number, since 1 + 1 + 24 + 7 + 7 + 0 + 613 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15731179776 + 96745881600 = 125424^2 + 311040^2 .

It is a super-3 number, since 3×112477061376³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 821000380 + ... + 821000516.

Almost surely, 2^112477061376 is an apocalyptic number.

112477061376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112477061376 is the 335376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112477061376

112477061376 is an abundant number, since it is smaller than the sum of its proper divisors (246417824743).

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

112477061376 is an frugal number, since it uses more digits than its factorization.

112477061376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 112477061376 in words is "one hundred twelve billion, four hundred seventy-seven million, sixty-one thousand, three hundred seventy-six".