948412050432 has 528 divisors, whose sum is σ = 3318686795520. Its totient is φ = 237834240000.

The previous prime is 948412050419. The next prime is 948412050449. The reversal of 948412050432 is 234050214849.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×948412050432² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48008557 + ... + 48028307.

Almost surely, 2^948412050432 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 948412050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659343397760).

948412050432 is an abundant number, since it is smaller than the sum of its proper divisors (2370274745088).

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

948412050432 is a wasteful number, since it uses less digits than its factorization.

948412050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19828 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 948412050432 in words is "nine hundred forty-eight billion, four hundred twelve million, fifty thousand, four hundred thirty-two".