1629137981952 has 400 divisors, whose sum is σ = 5322543236472. Its totient is φ = 493045678080.

The previous prime is 1629137981951. The next prime is 1629137981957. The reversal of 1629137981952 is 2591897319261.

1629137981952 is a `hidden beast` number, since 16 + 2 + 91 + 379 + 81 + 95 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 615685038336 + 1013452943616 = 784656^2 + 1006704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1629137981952.

It is not an unprimeable number, because it can be changed into a prime (1629137981951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32862528 + ... + 32912064.

Almost surely, 2^{1629137981952} is an apocalyptic number.

1629137981952 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 1629137981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661271618236).

1629137981952 is an abundant number, since it is smaller than the sum of its proper divisors (3693405254520).

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

1629137981952 is an equidigital number, since it uses as much as digits as its factorization.

1629137981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49641 (or 49616 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 63.

The spelling of 1629137981952 in words is "one trillion, six hundred twenty-nine billion, one hundred thirty-seven million, nine hundred eighty-one thousand, nine hundred fifty-two".