1922145368832 has 576 divisors, whose sum is σ = 6459478233600. Its totient is φ = 558916485120.

The previous prime is 1922145368831. The next prime is 1922145368839. The reversal of 1922145368832 is 2388635412291.

1922145368832 is a `hidden beast` number, since 1 + 9 + 2 + 21 + 4 + 536 + 8 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1922145368831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838265478 + ... + 838267770.

Almost surely, 2^{1922145368832} is an apocalyptic number.

1922145368832 is a gapful number since it is divisible by the number (12) 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 1922145368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229739116800).

1922145368832 is an abundant number, since it is smaller than the sum of its proper divisors (4537332864768).

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

1922145368832 is a wasteful number, since it uses less digits than its factorization.

1922145368832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2821 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 1922145368832 in words is "one trillion, nine hundred twenty-two billion, one hundred forty-five million, three hundred sixty-eight thousand, eight hundred thirty-two".