3142468835401 has 9 divisors (see below), whose sum is σ = 3655539406701. Its totient is φ = 2693534079852.

The previous prime is 3142468835399. The next prime is 3142468835417. The reversal of 3142468835401 is 1045388642413.

The square root of 3142468835401 is 1772701.

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

It is not a de Polignac number, because 3142468835401 - 2¹ = 3142468835399 is a prime.

It is a super-2 number, since 2×3142468835401² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3142468805401) 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, 12282286 + ... + 12535528.

It is an arithmetic number, because the mean of its divisors is an integer number (406171045189).

Almost surely, 2^{3142468835401} is an apocalyptic number.

3142468835401 is the 1772701-st square number.

3142468835401 is the 886351-st centered octagonal number.

It is an amenable number.

3142468835401 is a deficient number, since it is larger than the sum of its proper divisors (513070571300).

3142468835401 is an frugal number, since it uses more digits than its factorization.

3142468835401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506500 (or 253250 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

Multiplying 3142468835401 by its sum of digits (49), we get a square (153980972934649 = 12408907²).

3142468835401 divided by its sum of digits (49) gives a square (64132017049 = 253243²).

The spelling of 3142468835401 in words is "three trillion, one hundred forty-two billion, four hundred sixty-eight million, eight hundred thirty-five thousand, four hundred one".