1890348786144 has 864 divisors, whose sum is σ = 7132975668000. Its totient is φ = 472166682624.

The previous prime is 1890348786043. The next prime is 1890348786181. The reversal of 1890348786144 is 4416878430981.

1890348786144 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 3 + 4 + 8 + 7 + 8 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 589075612 + ... + 589078820.

It is an arithmetic number, because the mean of its divisors is an integer number (8255758875).

Almost surely, 2^{1890348786144} is an apocalyptic number.

1890348786144 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 1890348786144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566487834000).

1890348786144 is an abundant number, since it is smaller than the sum of its proper divisors (5242626881856).

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

1890348786144 is a wasteful number, since it uses less digits than its factorization.

1890348786144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 1890348786144 in words is "one trillion, eight hundred ninety billion, three hundred forty-eight million, seven hundred eighty-six thousand, one hundred forty-four".