1629164544 has 264 divisors, whose sum is σ = 5152544640. Its totient is φ = 456228864.

The previous prime is 1629164539. The next prime is 1629164569. The reversal of 1629164544 is 4454619261.

It is a super-2 number, since 2×1629164544² = 5308354222853455872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1629164496 and 1629164505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11891644 + ... + 11891780.

Almost surely, 2^1629164544 is an apocalyptic number.

1629164544 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 1629164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576272320).

1629164544 is an abundant number, since it is smaller than the sum of its proper divisors (3523380096).

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

1629164544 is a wasteful number, since it uses less digits than its factorization.

1629164544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 1629164544 is about 40362.9104996159. The cubic root of 1629164544 is about 1176.6708190897.

The spelling of 1629164544 in words is "one billion, six hundred twenty-nine million, one hundred sixty-four thousand, five hundred forty-four".