454930614879552 has 1960 divisors, whose sum is σ = 1671632489148960. Its totient is φ = 122434533365760.

The previous prime is 454930614879539. The next prime is 454930614879589. The reversal of 454930614879552 is 255978416039454.

454930614879552 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 3 + 0 + 6 + 1 + 487 + 95 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 449092412998 + ... + 449092414010.

It is a 1-persistent number, because it is pandigital, but 2⋅454930614879552 = 909861229759104 is not.

Almost surely, 2^{454930614879552} is an apocalyptic number.

454930614879552 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 454930614879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835816244574480).

454930614879552 is an abundant number, since it is smaller than the sum of its proper divisors (1216701874269408).

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

454930614879552 is an equidigital number, since it uses as much as digits as its factorization.

454930614879552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 454930614879552 in words is "four hundred fifty-four trillion, nine hundred thirty billion, six hundred fourteen million, eight hundred seventy-nine thousand, five hundred fifty-two".