950148492480 has 1008 divisors, whose sum is σ = 3746964312000. Its totient is φ = 220553625600.

The previous prime is 950148492479. The next prime is 950148492497. The reversal of 950148492480 is 84294841059.

It is a happy number.

950148492480 is a `hidden beast` number, since 9 + 5 + 0 + 148 + 492 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×950148492480³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1505781765 + ... + 1505782395.

It is an arithmetic number, because the mean of its divisors is an integer number (3717226500).

Almost surely, 2^950148492480 is an apocalyptic number.

950148492480 is a gapful number since it is divisible by the number (90) 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 950148492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873482156000).

950148492480 is an abundant number, since it is smaller than the sum of its proper divisors (2796815819520).

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

950148492480 is a wasteful number, since it uses less digits than its factorization.

950148492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 950148492480 in words is "nine hundred fifty billion, one hundred forty-eight million, four hundred ninety-two thousand, four hundred eighty".