1914414746112 has 1680 divisors, whose sum is σ = 6995435388480. Its totient is φ = 520277852160.

The previous prime is 1914414746063. The next prime is 1914414746161. The reversal of 1914414746112 is 2116474144191.

It is a happy number.

1914414746112 is a `hidden beast` number, since 1 + 9 + 1 + 44 + 147 + 461 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1914414746063) and next prime (1914414746161).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19736234448 + ... + 19736234544.

It is an arithmetic number, because the mean of its divisors is an integer number (4163949636).

Almost surely, 2^{1914414746112} is an apocalyptic number.

1914414746112 is a gapful number since it is divisible by the number (12) 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 1914414746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497717694240).

1914414746112 is an abundant number, since it is smaller than the sum of its proper divisors (5081020642368).

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

1914414746112 is an equidigital number, since it uses as much as digits as its factorization.

1914414746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 155 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 1914414746112 in words is "one trillion, nine hundred fourteen billion, four hundred fourteen million, seven hundred forty-six thousand, one hundred twelve".