2141046093312 has 640 divisors, whose sum is σ = 7391526912000. Its totient is φ = 599312867328.

The previous prime is 2141046093287. The next prime is 2141046093371. The reversal of 2141046093312 is 2133906401412.

2141046093312 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 4 + 609 + 33 + 12 = 666.

It is a super-2 number, since 2×2141046093312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1020030439 + ... + 1020032537.

It is an arithmetic number, because the mean of its divisors is an integer number (11549260800).

Almost surely, 2^{2141046093312} 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 2141046093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695763456000).

2141046093312 is an abundant number, since it is smaller than the sum of its proper divisors (5250480818688).

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

2141046093312 is a wasteful number, since it uses less digits than its factorization.

2141046093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2141046093312 in words is "two trillion, one hundred forty-one billion, forty-six million, ninety-three thousand, three hundred twelve".