1642691190144 has 256 divisors, whose sum is σ = 4511977344000. Its totient is φ = 529196236800.

The previous prime is 1642691190137. The next prime is 1642691190193. The reversal of 1642691190144 is 4410911962461.

It is a super-2 number, since 2×1642691190144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1642691190093 and 1642691190102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793953142 + ... + 793955210.

It is an arithmetic number, because the mean of its divisors is an integer number (17624911500).

Almost surely, 2^{1642691190144} 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 1642691190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255988672000).

1642691190144 is an abundant number, since it is smaller than the sum of its proper divisors (2869286153856).

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

1642691190144 is a wasteful number, since it uses less digits than its factorization.

1642691190144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 1642691190144 in words is "one trillion, six hundred forty-two billion, six hundred ninety-one million, one hundred ninety thousand, one hundred forty-four".