1945083248640 has 2040 divisors, whose sum is σ = 8701206006240. Its totient is φ = 406667132928.

The previous prime is 1945083248629. The next prime is 1945083248653. The reversal of 1945083248640 is 468423805491.

1945083248640 is a `hidden beast` number, since 1 + 9 + 4 + 508 + 32 + 48 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67071836146 + ... + 67071836174.

Almost surely, 2^{1945083248640} is an apocalyptic number.

1945083248640 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 1945083248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350603003120).

1945083248640 is an abundant number, since it is smaller than the sum of its proper divisors (6756122757600).

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

1945083248640 is an frugal number, since it uses more digits than its factorization.

1945083248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1945083248640 in words is "one trillion, nine hundred forty-five billion, eighty-three million, two hundred forty-eight thousand, six hundred forty".