995977141632 has 384 divisors, whose sum is σ = 3267204595200. Its totient is φ = 288274145280.

The previous prime is 995977141597. The next prime is 995977141633. The reversal of 995977141632 is 236141779599.

995977141632 is a `hidden beast` number, since 9 + 9 + 597 + 7 + 1 + 4 + 1 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 995977141632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995977141633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244529548 + ... + 244533620.

It is an arithmetic number, because the mean of its divisors is an integer number (8508345300).

Almost surely, 2^995977141632 is an apocalyptic number.

995977141632 is a gapful number since it is divisible by the number (92) 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 995977141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633602297600).

995977141632 is an abundant number, since it is smaller than the sum of its proper divisors (2271227453568).

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

995977141632 is a wasteful number, since it uses less digits than its factorization.

995977141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4951 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The spelling of 995977141632 in words is "nine hundred ninety-five billion, nine hundred seventy-seven million, one hundred forty-one thousand, six hundred thirty-two".