918412295680 has 160 divisors (see below), whose sum is σ = 2408940103680. Its totient is φ = 333034168320.

The previous prime is 918412295677. The next prime is 918412295711. The reversal of 918412295680 is 86592214819.

918412295680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×918412295680³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10064017 + ... + 10154863.

It is an arithmetic number, because the mean of its divisors is an integer number (15055875648).

Almost surely, 2^918412295680 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 918412295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204470051840).

918412295680 is an abundant number, since it is smaller than the sum of its proper divisors (1490527808000).

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

918412295680 is a wasteful number, since it uses less digits than its factorization.

918412295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91240 (or 91224 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 918412295680 in words is "nine hundred eighteen billion, four hundred twelve million, two hundred ninety-five thousand, six hundred eighty".