2008214148954 has 32 divisors (see below), whose sum is σ = 4325456882880. Its totient is φ = 617901679872.

The previous prime is 2008214148943. The next prime is 2008214148959. The reversal of 2008214148954 is 4598414128002.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2008214148959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5390434 + ... + 5750930.

It is an arithmetic number, because the mean of its divisors is an integer number (135170527590).

Almost surely, 2^{2008214148954} is an apocalyptic number.

2008214148954 is an abundant number, since it is smaller than the sum of its proper divisors (2317242733926).

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

2008214148954 is a wasteful number, since it uses less digits than its factorization.

2008214148954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431934.

The product of its (nonzero) digits is 737280, while the sum is 48.

It can be divided in two parts, 200821 and 4148954, that added together give a triangular number (4349775 = T₂₉₄₉).

The spelling of 2008214148954 in words is "two trillion, eight billion, two hundred fourteen million, one hundred forty-eight thousand, nine hundred fifty-four".