1945875456 has 396 divisors, whose sum is σ = 6795384960. Its totient is φ = 534159360.

The previous prime is 1945875397. The next prime is 1945875461. The reversal of 1945875456 is 6545785491.

It is a happy number.

1945875456 is a `hidden beast` number, since 1 + 9 + 4 + 587 + 5 + 4 + 56 = 666.

Its product of digits (6048000) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13999035 + ... + 13999173.

Almost surely, 2^1945875456 is an apocalyptic number.

1945875456 is a gapful number since it is divisible by the number (16) 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 1945875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397692480).

1945875456 is an abundant number, since it is smaller than the sum of its proper divisors (4849509504).

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

1945875456 is a wasteful number, since it uses less digits than its factorization.

1945875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 1945875456 is about 44112.0783459587. The cubic root of 1945875456 is about 1248.4515131562.

The spelling of 1945875456 in words is "one billion, nine hundred forty-five million, eight hundred seventy-five thousand, four hundred fifty-six".