1629148950 has 480 divisors, whose sum is σ = 5558081760. Its totient is φ = 348364800.

The previous prime is 1629148943. The next prime is 1629148951. The reversal of 1629148950 is 598419261.

1629148950 is a `hidden beast` number, since 1 + 629 + 14 + 8 + 9 + 5 + 0 = 666.

It is a super-2 number, since 2×1629148950² = 5308252602572205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1629148896 and 1629148905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1629148951) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16795302 + ... + 16795398.

It is an arithmetic number, because the mean of its divisors is an integer number (11579337).

Almost surely, 2^1629148950 is an apocalyptic number.

1629148950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629148950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779040880).

1629148950 is an abundant number, since it is smaller than the sum of its proper divisors (3928932810).

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

1629148950 is a wasteful number, since it uses less digits than its factorization.

1629148950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1629148950 is about 40362.7173267608. The cubic root of 1629148950 is about 1176.6670648008.

The spelling of 1629148950 in words is "one billion, six hundred twenty-nine million, one hundred forty-eight thousand, nine hundred fifty".