46205033742 has 128 divisors (see below), whose sum is σ = 118056960000. Its totient is φ = 13121790048.

The previous prime is 46205033731. The next prime is 46205033759. The reversal of 46205033742 is 24733050264.

It is a junction number, because it is equal to n+sod(n) for n = 46205033697 and 46205033706.

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, 91858663 + ... + 91859165.

It is an arithmetic number, because the mean of its divisors is an integer number (922320000).

Almost surely, 2^46205033742 is an apocalyptic number.

46205033742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46205033742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59028480000).

46205033742 is an abundant number, since it is smaller than the sum of its proper divisors (71851926258).

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

46205033742 is a wasteful number, since it uses less digits than its factorization.

46205033742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 46205033742 in words is "forty-six billion, two hundred five million, thirty-three thousand, seven hundred forty-two".