450412262214054 has 128 divisors (see below), whose sum is σ = 1075895649838080. Its totient is φ = 122982928320000.

The previous prime is 450412262213939. The next prime is 450412262214113.

450412262214054 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×450412262214054² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 450412262213997 and 450412262214015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393455104 + ... + 394598204.

It is an arithmetic number, because the mean of its divisors is an integer number (8405434764360).

Almost surely, 2^{450412262214054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450412262214054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537947824919040).

450412262214054 is an abundant number, since it is smaller than the sum of its proper divisors (625483387624026).

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

450412262214054 is a wasteful number, since it uses less digits than its factorization.

450412262214054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146446.

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 450412262214054 in words is "four hundred fifty trillion, four hundred twelve billion, two hundred sixty-two million, two hundred fourteen thousand, fifty-four".