45934398263040 has 576 divisors, whose sum is σ = 172482996381696. Its totient is φ = 10201147047936.

The previous prime is 45934398262957. The next prime is 45934398263071. The reversal of 45934398263040 is 4036289343954.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 146581402 + ... + 146894438.

It is an arithmetic number, because the mean of its divisors is an integer number (299449646496).

Almost surely, 2^{45934398263040} is an apocalyptic number.

45934398263040 is a gapful number since it is divisible by the number (40) 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 45934398263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86241498190848).

45934398263040 is an abundant number, since it is smaller than the sum of its proper divisors (126548598118656).

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

45934398263040 is a wasteful number, since it uses less digits than its factorization.

45934398263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313224 (or 313210 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 60.

The spelling of 45934398263040 in words is "forty-five trillion, nine hundred thirty-four billion, three hundred ninety-eight million, two hundred sixty-three thousand, forty".