458424378742551 has 256 divisors, whose sum is σ = 734482423664640. Its totient is φ = 251858274877440.

The previous prime is 458424378742541. The next prime is 458424378742613. The reversal of 458424378742551 is 155247873424854.

It is a happy number.

It is not a de Polignac number, because 458424378742551 - 2¹⁵ = 458424378709783 is a prime.

It is a super-2 number, since 2×458424378742551² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458424378742501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 256532947480 + ... + 256532949266.

It is an arithmetic number, because the mean of its divisors is an integer number (2869071967440).

Almost surely, 2^{458424378742551} is an apocalyptic number.

458424378742551 is a deficient number, since it is larger than the sum of its proper divisors (276058044922089).

458424378742551 is a wasteful number, since it uses less digits than its factorization.

458424378742551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466.

The product of its digits is 1204224000, while the sum is 69.

The spelling of 458424378742551 in words is "four hundred fifty-eight trillion, four hundred twenty-four billion, three hundred seventy-eight million, seven hundred forty-two thousand, five hundred fifty-one".