1945274190912 has 784 divisors, whose sum is σ = 6473949594112. Its totient is φ = 575637995520.

The previous prime is 1945274190901. The next prime is 1945274190917. The reversal of 1945274190912 is 2190914725491.

1945274190912 is a `hidden beast` number, since 1 + 94 + 52 + 7 + 419 + 0 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1945274190917) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5772326808 + ... + 5772327144.

It is an arithmetic number, because the mean of its divisors is an integer number (8257588768).

Almost surely, 2^{1945274190912} is an apocalyptic number.

1945274190912 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 1945274190912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236974797056).

1945274190912 is an abundant number, since it is smaller than the sum of its proper divisors (4528675403200).

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

1945274190912 is a wasteful number, since it uses less digits than its factorization.

1945274190912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1945274190912 in words is "one trillion, nine hundred forty-five billion, two hundred seventy-four million, one hundred ninety thousand, nine hundred twelve".