1918645134120 has 768 divisors, whose sum is σ = 7686408038400. Its totient is φ = 408665088000.

The previous prime is 1918645134101. The next prime is 1918645134139. The reversal of 1918645134120 is 214315468191.

1918645134120 is a `hidden beast` number, since 1 + 9 + 1 + 8 + 6 + 4 + 513 + 4 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1918645134101) and next prime (1918645134139).

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 191 ways as a sum of consecutive naturals, for example, 97338826 + ... + 97358534.

It is an arithmetic number, because the mean of its divisors is an integer number (10008343800).

Almost surely, 2^{1918645134120} is an apocalyptic number.

1918645134120 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 1918645134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843204019200).

1918645134120 is an abundant number, since it is smaller than the sum of its proper divisors (5767762904280).

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

1918645134120 is a wasteful number, since it uses less digits than its factorization.

1918645134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19842 (or 19835 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1918645134120 in words is "one trillion, nine hundred eighteen billion, six hundred forty-five million, one hundred thirty-four thousand, one hundred twenty".