1954561803264 has 1584 divisors, whose sum is σ = 7358328956160. Its totient is φ = 488161935360.

The previous prime is 1954561803253. The next prime is 1954561803269. The reversal of 1954561803264 is 4623081654591.

1954561803264 is a `hidden beast` number, since 1 + 9 + 5 + 456 + 180 + 3 + 2 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1954561803264.

It is not an unprimeable number, because it can be changed into a prime (1954561803269) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21961368532 + ... + 21961368620.

Almost surely, 2^{1954561803264} is an apocalyptic number.

1954561803264 is a gapful number since it is divisible by the number (14) 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 1954561803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679164478080).

1954561803264 is an abundant number, since it is smaller than the sum of its proper divisors (5403767152896).

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

1954561803264 is a wasteful number, since it uses less digits than its factorization.

1954561803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1954561803264 in words is "one trillion, nine hundred fifty-four billion, five hundred sixty-one million, eight hundred three thousand, two hundred sixty-four".