113770273680 has 800 divisors, whose sum is σ = 488074118400. Its totient is φ = 24466821120.

The previous prime is 113770273621. The next prime is 113770273681. The reversal of 113770273680 is 86372077311.

113770273680 is a `hidden beast` number, since 1 + 1 + 377 + 0 + 273 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (113770273681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37783375 + ... + 37786385.

It is an arithmetic number, because the mean of its divisors is an integer number (610092648).

Almost surely, 2^113770273680 is an apocalyptic number.

113770273680 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 113770273680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244037059200).

113770273680 is an abundant number, since it is smaller than the sum of its proper divisors (374303844720).

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

113770273680 is a wasteful number, since it uses less digits than its factorization.

113770273680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3045 counting only the distinct ones).

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

The spelling of 113770273680 in words is "one hundred thirteen billion, seven hundred seventy million, two hundred seventy-three thousand, six hundred eighty".