1945961171532 has 288 divisors, whose sum is σ = 6033022195200. Its totient is φ = 516500582400.

The previous prime is 1945961171521. The next prime is 1945961171611. The reversal of 1945961171532 is 2351711695491.

1945961171532 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 9 + 611 + 7 + 15 + 3 + 2 = 666.

It is a super-2 number, since 2×1945961171532² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96664444 + ... + 96684572.

Almost surely, 2^{1945961171532} is an apocalyptic number.

1945961171532 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 1945961171532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016511097600).

1945961171532 is an abundant number, since it is smaller than the sum of its proper divisors (4087061023668).

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

1945961171532 is a wasteful number, since it uses less digits than its factorization.

1945961171532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20557 (or 20552 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The spelling of 1945961171532 in words is "one trillion, nine hundred forty-five billion, nine hundred sixty-one million, one hundred seventy-one thousand, five hundred thirty-two".