146427884346121 has 81 divisors (see below), whose sum is σ = 184836457501479. Its totient is φ = 115643180804256.

The previous prime is 146427884346011. The next prime is 146427884346131. The reversal of 146427884346121 is 121643488724641.

The square root of 146427884346121 is 12100739.

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., 131025681756025 + 15402202590096 = 11446645^2 + 3924564^2 .

It is not a de Polignac number, because 146427884346121 - 2²⁵ = 146427850791689 is a prime.

It is a super-2 number, since 2×146427884346121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146427884346121.

It is not an unprimeable number, because it can be changed into a prime (146427884346131) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59547735390 + ... + 59547737848.

Almost surely, 2^{146427884346121} is an apocalyptic number.

146427884346121 is the 12100739-th square number.

146427884346121 is the 6050370-th centered octagonal number.

It is an amenable number.

146427884346121 is a deficient number, since it is larger than the sum of its proper divisors (38408573155358).

146427884346121 is an frugal number, since it uses more digits than its factorization.

146427884346121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 2522 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 61.

The spelling of 146427884346121 in words is "one hundred forty-six trillion, four hundred twenty-seven billion, eight hundred eighty-four million, three hundred forty-six thousand, one hundred twenty-one".