505351454000 has 80 divisors (see below), whose sum is σ = 1227011275776. Its totient is φ = 201301632000.

The previous prime is 505351453987. The next prime is 505351454029. The reversal of 505351454000 is 454153505.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42224 + ... + 1006223.

Almost surely, 2^505351454000 is an apocalyptic number.

505351454000 is a gapful number since it is divisible by the number (50) 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 505351454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613505637888).

505351454000 is an abundant number, since it is smaller than the sum of its proper divisors (721659821776).

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

505351454000 is a wasteful number, since it uses less digits than its factorization.

505351454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048711 (or 1048695 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 505351454000 in words is "five hundred five billion, three hundred fifty-one million, four hundred fifty-four thousand".