427646154012 has 192 divisors, whose sum is σ = 1300639334400. Its totient is φ = 106244698560.

The previous prime is 427646153993. The next prime is 427646154017. The reversal of 427646154012 is 210451646724.

It is a super-2 number, since 2×427646154012² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427646154017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11223289 + ... + 11261327.

It is an arithmetic number, because the mean of its divisors is an integer number (6774163200).

Almost surely, 2^427646154012 is an apocalyptic number.

427646154012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427646154012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650319667200).

427646154012 is an abundant number, since it is smaller than the sum of its proper divisors (872993180388).

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

427646154012 is a wasteful number, since it uses less digits than its factorization.

427646154012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38133 (or 38085 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 427646154012 in words is "four hundred twenty-seven billion, six hundred forty-six million, one hundred fifty-four thousand, twelve".