946205245440 has 1200 divisors, whose sum is σ = 4177701276672. Its totient is φ = 199511506944.

The previous prime is 946205245429. The next prime is 946205245481. The reversal of 946205245440 is 44542502649.

It is a happy number.

946205245440 is a `hidden beast` number, since 94 + 6 + 20 + 52 + 454 + 40 = 666.

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 79 ways as a sum of consecutive naturals, for example, 603831537 + ... + 603833103.

Almost surely, 2^946205245440 is an apocalyptic number.

946205245440 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 946205245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088850638336).

946205245440 is an abundant number, since it is smaller than the sum of its proper divisors (3231496031232).

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

946205245440 is a wasteful number, since it uses less digits than its factorization.

946205245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 946205245440 in words is "nine hundred forty-six billion, two hundred five million, two hundred forty-five thousand, four hundred forty".