746054754356352 has 512 divisors, whose sum is σ = 2418760241971200. Its totient is φ = 199146448650240.

The previous prime is 746054754356341. The next prime is 746054754356399. The reversal of 746054754356352 is 253653457450647.

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, 38391116428 + ... + 38391135860.

It is an arithmetic number, because the mean of its divisors is an integer number (4724141097600).

Almost surely, 2^{746054754356352} 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 746054754356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209380120985600).

746054754356352 is an abundant number, since it is smaller than the sum of its proper divisors (1672705487614848).

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

746054754356352 is a wasteful number, since it uses less digits than its factorization.

746054754356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35404 (or 35392 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 66.

The spelling of 746054754356352 in words is "seven hundred forty-six trillion, fifty-four billion, seven hundred fifty-four million, three hundred fifty-six thousand, three hundred fifty-two".