922261401600 has 1248 divisors, whose sum is σ = 3844063297536. Its totient is φ = 189510451200.

The previous prime is 922261401587. The next prime is 922261401641. The reversal of 922261401600 is 6104162229.

It is a super-3 number, since 3×922261401600³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3004108647 + ... + 3004108953.

Almost surely, 2^922261401600 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 922261401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922031648768).

922261401600 is an abundant number, since it is smaller than the sum of its proper divisors (2921801895936).

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

922261401600 is a wasteful number, since it uses less digits than its factorization.

922261401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 922261401600 its reverse (6104162229), we get a palindrome (928365563829).

The spelling of 922261401600 in words is "nine hundred twenty-two billion, two hundred sixty-one million, four hundred one thousand, six hundred".