1422145880064 has 960 divisors, whose sum is σ = 5456755624320. Its totient is φ = 358763986944.

The previous prime is 1422145880053. The next prime is 1422145880191. The reversal of 1422145880064 is 4600885412241.

1422145880064 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 1 + 4 + 588 + 0 + 0 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61832429557 + ... + 61832429579.

It is an arithmetic number, because the mean of its divisors is an integer number (5684120442).

Almost surely, 2^{1422145880064} is an apocalyptic number.

1422145880064 is a gapful number since it is divisible by the number (14) 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 1422145880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728377812160).

1422145880064 is an abundant number, since it is smaller than the sum of its proper divisors (4034609744256).

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

1422145880064 is an frugal number, since it uses more digits than its factorization.

1422145880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1422145880064 in words is "one trillion, four hundred twenty-two billion, one hundred forty-five million, eight hundred eighty thousand, sixty-four".