378964591201 has 9 divisors (see below), whose sum is σ = 440841374001. Its totient is φ = 324823098852.

The previous prime is 378964591199. The next prime is 378964591217. The reversal of 378964591201 is 102195469873.

It is a happy number.

The square root of 378964591201 is 615601.

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

It is not a de Polignac number, because 378964591201 - 2¹ = 378964591199 is a prime.

It is a super-2 number, since 2×378964591201² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (378964591301) 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, 4265236 + ... + 4353178.

It is an arithmetic number, because the mean of its divisors is an integer number (48982374889).

It is a 1-persistent number, because it is pandigital, but 2⋅378964591201 = 757929182402 is not.

Almost surely, 2^378964591201 is an apocalyptic number.

378964591201 is the 615601-st square number.

378964591201 is the 307801-st centered octagonal number.

It is an amenable number.

378964591201 is a deficient number, since it is larger than the sum of its proper divisors (61876782800).

378964591201 is an frugal number, since it uses more digits than its factorization.

378964591201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175900 (or 87950 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 378964591201 in words is "three hundred seventy-eight billion, nine hundred sixty-four million, five hundred ninety-one thousand, two hundred one".