454351928427936 has 1152 divisors, whose sum is σ = 1786090715136000. Its totient is φ = 108195575040000.

The previous prime is 454351928427923. The next prime is 454351928427937. The reversal of 454351928427936 is 639724829153454.

454351928427936 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 5 + 192 + 8 + 427 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (454351928427937) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 639666586 + ... + 640376486.

It is an arithmetic number, because the mean of its divisors is an integer number (1550425968000).

Almost surely, 2^{454351928427936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454351928427936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893045357568000).

454351928427936 is an abundant number, since it is smaller than the sum of its proper divisors (1331738786708064).

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

454351928427936 is a wasteful number, since it uses less digits than its factorization.

454351928427936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709999 (or 709974 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 454351928427936 in words is "four hundred fifty-four trillion, three hundred fifty-one billion, nine hundred twenty-eight million, four hundred twenty-seven thousand, nine hundred thirty-six".