1451146355456 has 72 divisors (see below), whose sum is σ = 3377987575200. Its totient is φ = 621919828992.

The previous prime is 1451146355441. The next prime is 1451146355539. The reversal of 1451146355456 is 6545536411541.

It is a super-3 number, since 3×1451146355456³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8175371 + ... + 8350986.

It is an arithmetic number, because the mean of its divisors is an integer number (46916494100).

Almost surely, 2^{1451146355456} is an apocalyptic number.

1451146355456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1451146355456 is an abundant number, since it is smaller than the sum of its proper divisors (1926841219744).

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

1451146355456 is an frugal number, since it uses more digits than its factorization.

1451146355456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16526394 (or 16526366 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 50.

The spelling of 1451146355456 in words is "one trillion, four hundred fifty-one billion, one hundred forty-six million, three hundred fifty-five thousand, four hundred fifty-six".