46929363951001 has 9 divisors (see below), whose sum is σ = 54591356705301. Its totient is φ = 40225127997852.

The previous prime is 46929363950983. The next prime is 46929363951053. The reversal of 46929363951001 is 10015936392964.

The square root of 46929363951001 is 6850501.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 46929363951001 - 2⁷ = 46929363950873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46929363957001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47464186 + ... + 48442828.

It is an arithmetic number, because the mean of its divisors is an integer number (6065706300589).

Almost surely, 2^{46929363951001} is an apocalyptic number.

46929363951001 is the 6850501-st square number.

46929363951001 is the 3425251-st centered octagonal number.

It is an amenable number.

46929363951001 is a deficient number, since it is larger than the sum of its proper divisors (7661992754300).

46929363951001 is an frugal number, since it uses more digits than its factorization.

46929363951001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957300 (or 978650 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 58.

The spelling of 46929363951001 in words is "forty-six trillion, nine hundred twenty-nine billion, three hundred sixty-three million, nine hundred fifty-one thousand, one".