746123541875712 has 7920 divisors, whose sum is σ = 3350607784067808. Its totient is φ = 162773870837760.

The previous prime is 746123541875707. The next prime is 746123541875717. The reversal of 746123541875712 is 217578145321647.

746123541875712 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 2 + 3 + 54 + 1 + 8 + 7 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (746123541875707) and next prime (746123541875717).

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

Its product of digits (79027200) is a multiple of the sum of its prime factors (294).

It is a self number, because there is not a number n which added to its sum of digits gives 746123541875712.

It is not an unprimeable number, because it can be changed into a prime (746123541875717) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4752379247538 + ... + 4752379247694.

Almost surely, 2^{746123541875712} is an apocalyptic number.

746123541875712 is a gapful number since it is divisible by the number (72) 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 746123541875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675303892033904).

746123541875712 is an abundant number, since it is smaller than the sum of its proper divisors (2604484242192096).

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

746123541875712 is a wasteful number, since it uses less digits than its factorization.

746123541875712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 247 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 746123541875712 in words is "seven hundred forty-six trillion, one hundred twenty-three billion, five hundred forty-one million, eight hundred seventy-five thousand, seven hundred twelve".