1629450891408 has 80 divisors (see below), whose sum is σ = 4434221995200. Its totient is φ = 514184970240.

The previous prime is 1629450891391. The next prime is 1629450891493. The reversal of 1629450891408 is 8041980549261.

It is a super-2 number, since 2×1629450891408² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584848 + ... + 1897616.

It is an arithmetic number, because the mean of its divisors is an integer number (55427774940).

Almost surely, 2^{1629450891408} 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 1629450891408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217110997600).

1629450891408 is an abundant number, since it is smaller than the sum of its proper divisors (2804771103792).

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

1629450891408 is a wasteful number, since it uses less digits than its factorization.

1629450891408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314160 (or 1314154 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 1629450891408 in words is "one trillion, six hundred twenty-nine billion, four hundred fifty million, eight hundred ninety-one thousand, four hundred eight".