214754721958144 has 81 divisors (see below), whose sum is σ = 443976074400313. Its totient is φ = 103671410748416.

The previous prime is 214754721958103. The next prime is 214754721958163. The reversal of 214754721958144 is 441859127457412.

It is a happy number.

The square root of 214754721958144 is 14654512.

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

It can be written as a sum of positive squares in only one way, i.e., 112612166924544 + 102142555033600 = 10611888^2 + 10106560^2 .

It is a super-2 number, since 2×214754721958144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6799677777 + ... + 6799709359.

Almost surely, 2^{214754721958144} is an apocalyptic number.

214754721958144 is the 14654512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214754721958144

214754721958144 is an abundant number, since it is smaller than the sum of its proper divisors (229221352442169).

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

214754721958144 is an frugal number, since it uses more digits than its factorization.

214754721958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63240 (or 31614 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 64.

214754721958144 divided by its sum of digits (64) gives a square (3355542530596 = 1831814²).

The spelling of 214754721958144 in words is "two hundred fourteen trillion, seven hundred fifty-four billion, seven hundred twenty-one million, nine hundred fifty-eight thousand, one hundred forty-four".