446000457251421 has 48 divisors (see below), whose sum is σ = 659665307311920. Its totient is φ = 290285244288000.

The previous prime is 446000457251417. The next prime is 446000457251423. The reversal of 446000457251421 is 124152754000644.

446000457251421 is a `hidden beast` number, since 4 + 4 + 6 + 0 + 0 + 0 + 4 + 572 + 51 + 4 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73683596727225 + 372316860524196 = 8583915^2 + 19295514^2 .

It is not a de Polignac number, because 446000457251421 - 2² = 446000457251417 is a prime.

It is a super-2 number, since 2×446000457251421² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446000457251423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47463835 + ... + 56078663.

It is an arithmetic number, because the mean of its divisors is an integer number (13743027235665).

Almost surely, 2^{446000457251421} is an apocalyptic number.

It is an amenable number.

446000457251421 is a deficient number, since it is larger than the sum of its proper divisors (213664850060499).

446000457251421 is a wasteful number, since it uses less digits than its factorization.

446000457251421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8615598 (or 8615595 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 446000457251421 in words is "four hundred forty-six trillion, four hundred fifty-seven million, two hundred fifty-one thousand, four hundred twenty-one".