1451114142534 has 192 divisors, whose sum is σ = 3756438346752. Its totient is φ = 411260976000.

The previous prime is 1451114142509. The next prime is 1451114142551. The reversal of 1451114142534 is 4352414111541.

1451114142534 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 114 + 1 + 4 + 2 + 534 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450515044 + ... + 450518264.

It is an arithmetic number, because the mean of its divisors is an integer number (19564783056).

Almost surely, 2^{1451114142534} is an apocalyptic number.

1451114142534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451114142534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878219173376).

1451114142534 is an abundant number, since it is smaller than the sum of its proper divisors (2305324204218).

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

1451114142534 is a wasteful number, since it uses less digits than its factorization.

1451114142534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4261 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 1451114142534 in words is "one trillion, four hundred fifty-one billion, one hundred fourteen million, one hundred forty-two thousand, five hundred thirty-four".