945152409600 has 1440 divisors, whose sum is σ = 4115115782400. Its totient is φ = 208089907200.

The previous prime is 945152409563. The next prime is 945152409647. The reversal of 945152409600 is 6904251549.

945152409600 is a `hidden beast` number, since 9 + 4 + 5 + 15 + 24 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2245017390 + ... + 2245017810.

Almost surely, 2^945152409600 is an apocalyptic number.

945152409600 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 945152409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057557891200).

945152409600 is an abundant number, since it is smaller than the sum of its proper divisors (3169963372800).

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

945152409600 is a wasteful number, since it uses less digits than its factorization.

945152409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 945152409600 in words is "nine hundred forty-five billion, one hundred fifty-two million, four hundred nine thousand, six hundred".