949129536432 has 640 divisors, whose sum is σ = 3429449072640. Its totient is φ = 218626974720.

The previous prime is 949129536269. The next prime is 949129536437. The reversal of 949129536432 is 234635921949.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (949129536437) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75905893 + ... + 75918395.

It is an arithmetic number, because the mean of its divisors is an integer number (5358514176).

Almost surely, 2^949129536432 is an apocalyptic number.

949129536432 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 949129536432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714724536320).

949129536432 is an abundant number, since it is smaller than the sum of its proper divisors (2480319536208).

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

949129536432 is a wasteful number, since it uses less digits than its factorization.

949129536432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12621 (or 12615 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 57.

The spelling of 949129536432 in words is "nine hundred forty-nine billion, one hundred twenty-nine million, five hundred thirty-six thousand, four hundred thirty-two".