1953860634144 has 240 divisors, whose sum is σ = 5852624234688. Its totient is φ = 639330651648.

The previous prime is 1953860634133. The next prime is 1953860634269. The reversal of 1953860634144 is 4414360683591.

It is a happy number.

1953860634144 is a `hidden beast` number, since 1 + 9 + 538 + 6 + 0 + 63 + 4 + 1 + 44 = 666.

It is a super-2 number, since 2×1953860634144² (a number of 25 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 33747429 + ... + 33805275.

Almost surely, 2^{1953860634144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1953860634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926312117344).

1953860634144 is an abundant number, since it is smaller than the sum of its proper divisors (3898763600544).

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

1953860634144 is a wasteful number, since it uses less digits than its factorization.

1953860634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58109 (or 58092 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1953860634144 in words is "one trillion, nine hundred fifty-three billion, eight hundred sixty million, six hundred thirty-four thousand, one hundred forty-four".